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Important Formulas - Boats and Streams

Type 1 : Speed of boat in still water and speed of stream are given separately. Correct answer : b Hint: In downstream, water stream increases the speed of boat as they both are along the same directions. Hence, both the speeds are added. Find a speed of stream b speed of boat in still water.

Find the distance covered by the boat between two points. Next Page �. If there's no mention of stream speed in the question, assume it to be the speed of boat in still water. So, water stream increases the speed of boat. Hence, speeds are added while going downstream. So, water stream decreases the speed of boat due to opposite flow. Hence, speeds are subtracted while going upstream. Boat travel upstream and downstream problems list you just remember this concept, you won't need to remember and recall the above formula while solving the problems.

Halving this would give you the speed of the current. Once you know how to deal with these 4 types of problems, the chapter should be an easy one for you. Question Variety: Type 1 : Speed of boat in still water and speed of stream are given separately.

Alligation or Mixtures - Aptitude test, questions, shortcuts, solved example videos Boat travel upstream and downstream problems list or Mixtures - Quantitative aptitude tutorial with easy tricks, tips, short cuts explaining the concepts. Online aptitude preparation material with practice question bank, examples, solutions and explanations.

Very useful for freshers, engineers, software developers taking entrance exams. Learn and take practice tests! Problems on Trains - Aptitude test, questions, shortcuts, solved example videos Problems on Trains - Quantitative aptitude tutorial with easy tricks, tips, short cuts explaining the concepts.

Time and Distance - Aptitude test, questions, shortcuts, solved example videos Time and Distance - Quantitative uostream tutorial with easy tricks, tips, short cuts explaining the concepts.

F and L. Find upsteam speed of stream b speed of boat in still water Examples: Q 3. What would be Boat Traveling Upstream And Downstream Java the speed of swimmer in still water? Examples: Q 5. What would downwtream the average speed of boat during the journey?

Boat travel upstream and downstream problems list Q 7.

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What dangers can exist when boating on inland waters? Who can service an inflatable lifejacket? The manufacturer or their authorised service agent. Anyone, but only if the manufacturer provides self-servicing instructions. What is it? Sitting with legs over the gunwale edge of a moving powerboat. Sitting on the bow of a moving powerboat where a person is at risk of falling overboard.

Dangling arms over the gunwale edge of a moving powerboat. What is the main purpose of navigation lights on a boat? To light up the waterway ahead like the headlights of a car. To allow the crew to see what they are doing on board. To help rescue or emergency response craft find you at night. At night, a vessel at anchor MUST display:. You are driving a vessel at speed and your vision is suddenly affected by glare from the sun.

Your immediate reaction should be:. Continue driving at speed in anticipation that you will regain your vision. Increase speed and manoeuvre vessel to find a direction to minimise spray and the effect of the sun. What factors influence the way a boat handles at sea? Wave direction and the way a boat is steered. The load including people carried on board. Maintain a position behind a wave, but not too close.

Maintain a position just in front of a wave. What is the responsibility of the observer on board a vessel towing water-skiers or aquaplaners? To signal to skiers when they get too close to the shore.

To keep a lookout for dangers ahead only when towing. To inform the driver about other vessels approaching from ahead. To watch the towed people and report all matters affecting the tow to the driver. When is it appropriate to dispose of rubbish overboard? Never � all rubbish should be appropriately disposed of ashore. Only if it consists of biodegradable food scraps. Only when the rubbish is heavy enough to sink to the sea bed.

For environmental reasons, where should you avoid driving your boat? What type of lifejacket MUST you wear on a powerboat less than 4. Either lifejacket Level formerly Type 1 or lifejacket Level 50 formerly Type 2 for each person on board.

Any type of lifejacket as long as there is one for each person on board. Any mixture of lifejacket Levels formerly Type 1 , 50 formerly Type 2 and 50S formerly Type 3 , or a wetsuit as long as there is one for each person on board. When operating a vessel less than 5 metres in length on enclosed waters. When operating a vessel 2 or more nautical miles off the coast. Your first response should be to:. Monitor the radio.

If a shore station fails to respond, attempt to relay the message. Ignore the message. Emergency services will respond. When is a reduction in the number of maximum persons shown on a Safety Label recommended? Only when boating in poor weather conditions. When boating in poor weather conditions or when operating on open waters.

What should you do when approaching a much larger vessel in a channel? Signal to the larger vessel that you are holding your course. Keep well clear and, if necessary, pass astern at a safe distance. Increase speed and cross close in front of the larger vessel. Hold your course and let the larger vessel take any necessary avoiding action. From what minimum speed must a skipper driver keep at least 30 metres from another vessel?

When happens when an engine kill switch is activated? The driver's lifejacket is automatically inflated. The vessel maintains its current speed and course. Once you are finished, click the button below.

Any items you have not completed will be marked incorrect. Get Results. You have completed. You have not finished your quiz. If you leave this page, your progress will be lost. Attempted Questions Correct. All of the above. On the port left-hand side. In the middle of the channel. On the starboard right-hand side. Under 0. Your port left-hand side. Your starboard right-hand side. Either side it does not matter. At all times on a vessel under 4.

When being towed on any apparatus. After sunset and before sunrise. On open and alpine waters. When boating alone. The other vessel. The vessel that you are driving.

The driver of the slower vessel. The driver of the smaller vessel. Alter your course to starboard right. Alter your course to port left. Maintain your speed and course.

Stop immediately and turn off all lights. Red and green sidelights only. A white masthead light only. No lights are required. Sailing vessel under sail. Ferry in chains. When a powerboat is at anchor. On an incoming tide flood tide. On an outgoing tide ebb tide. Slack water top or bottom of the tide. Five people. Three people. An isolated danger mark. A channel blocked mark. A special mark. We are looking for the rate of speed for each part of the trip.

The rate while biking is 1. The times here are given as clock times. Cruz started from home at a. So he spent 1. Then he biked from a.

So he spent 2. By looking at the diagram, we can see that the sum of the distance running and the distance biking is miles.

Hamilton loves to travel to Las Vegas, miles from his home in Orange County. On his last trip, he left his house at p. The first part of his trip was on congested city freeways. At pm, the traffic cleared and he was able to drive through the desert at a speed 1. He arrived in Las Vegas at p. How fast was he driving during each part of his trip? Phuong left home on his bicycle at He rode on the flat street until , then rode uphill until He rode a total of 31 miles.

His speed riding uphill was 0. Find his speed biking uphill and on the flat street. She has seven more dimes than nickels. How many coins of each type does she have? She has 12 more nickels than quarters. How many of each type of bill is in the drawer? How many of each are in the drawer?

The number of dimes is three more than three times the number of quarters. How many of each are there? The number of quarters is eight more than four times the number of dimes. How many of each coin does she have?

He has five more dimes than quarters and nine more nickels than quarters. How many of each coin are in his pocket? She has eight more dimes than quarters and six more nickels than quarters. How many of each coin are in her purse?

The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold? The number of stamps was 20 more than twice the number of postcards. How many of each did she buy? How many of each did he buy? How many of each type of share does she have? How many of each type of share did he buy? How many general admission Boat Travelling Upstream And Downstream Mac tickets and how many youth tickets were sold?

For the show time, movie tickets were sold. How many adult tickets and how many senior tickets were sold? The box office sold tickets to a concert at the college. How many of each kind of ticket was sold? Macario is making 12 pounds of nut mixture with macadamia nuts and almonds.

Carmen wants to tile the floor of his house. He will need 1, square feet of tile. Riley is planning to plant a lawn in his yard. He will need nine pounds of grass seed. If he wants to earn 7. How much should he invest into each fund if he wants to earn 5. Round your answer to the nearest tenth of a percent.

Lilah is moving from Portland to Seattle. It takes her three hours to go by train. It takes him 2. Kathy and Cheryl are walking in a fundraiser. Kathy completes the course in 4. Kathy walks two miles per hour faster than Cheryl. Two busses go from Sacramento to San Diego. The express bus makes the trip in 6.

The speed of the express bus is 25 mph faster than the speed of the local bus. Find the speed of both busses. A commercial jet and a private airplane fly from Denver to Phoenix. It takes the commercial jet 1. The speed of the commercial jet is miles per hour faster than the speed of the private airplane. Find the speed of both airplanes to the nearest 10 mph.

Saul drove his truck three hours from Dallas towards Kansas City and stopped at a truck stop to get dinner. At the truck stop he met Erwin, who had driven four hours from Kansas City towards Dallas.

Find the speed of the two truckers. Charlie and Violet met for lunch at a restaurant between Memphis and New Orleans. Charlie had left Memphis and drove 4. The distance between Memphis and New Orleans is miles. Find the speed of the two drivers. Sisters Helen and Anne live miles apart. Helen drove 3. Ethan and Leo start riding their bikes at the opposite ends of a mile bike path.

After Ethan has ridden 1. Find the speed of the two bikers. Elvira and Aletheia live 3. They are in a study group that meets at a coffee shop between their houses. It took Elvira half an hour and Aletheia two-thirds of an hour to walk to the coffee shop. DaMarcus and Fabian live 23 miles apart and play soccer at a park between their homes. DaMarcus rode his bike for three-quarters of an hour and Fabian rode his bike for half an hour to get to the park.

Find the speed of both soccer players. Cindy and Richard leave their dorm in Charleston at the same time. Cindy rides her bicycle north at a speed of 18 miles per hour. Richard rides his bicycle south at a speed of 14 miles per hour. How long will it take them to be 96 miles apart?

Matt drives west on I at a speed of 76 miles per hour. Chris drives east on I at a speed of 82 miles per hour. How many hours will it take them to be miles apart?

Two busses leave Billings at the same time. The Seattle bus heads west on I at a speed of 73 miles per hour while the Chicago bus heads east at a speed of 79 miles an hour.

Two boats leave the same dock in Cairo at the same time. One heads north on the Mississippi River while the other heads south. The northbound boat travels four miles per hour. The southbound boat goes eight miles Boat Travel Upstream And Downstream Problems In Pdf per hour. How long will it take them to be 54 miles apart?

Lorena walks the path around the park in 30 minutes. If she jogs, it takes her 20 minutes. Her jogging speed is 1. Julian rides his bike uphill for 45 minutes, then turns around and rides back downhill. It takes him 15 minutes to get back to where he started. His uphill speed is 3.

Cassius drives his boat upstream for 45 minutes. It takes him 30 minutes to return downstream. His speed going upstream is three miles per hour slower than his speed going downstream. Find his upstream and downstream speeds. It takes Darline 20 minutes to drive to work in light traffic.

To come home, when there is heavy traffic, it takes her 36 minutes. Her speed in light traffic is 24 miles per hour faster than her speed in heavy traffic. Find her speed in light traffic and in heavy traffic. At , Marlon left his house to go to the beach, a distance of 7.

He rode his skateboard until , and then walked the rest of the way. He arrived at the beach at Find his speed when skateboarding and when walking. Aaron left at to drive to his mountain cabin miles away. He drove on the freeway until and then drove on a mountain road. He arrived at His speed on the freeway was three times his speed on the mountain road. Marisol left Los Angeles at to drive to Santa Barbara, a distance of 95 miles.

The traffic was heavy until She drove the rest of the way in very light traffic and arrived at Her speed in heavy traffic was 40 miles per hour slower than her speed in light traffic. Find her speed in heavy traffic and in light traffic. Lizette is training for a marathon. At she left her house and ran until then she walked until She covered a total distance of 19 miles.

Her running speed was five miles per hour faster than her walking speed. Find her running and walking speeds. John left his house in Irvine at a. He arrived at the meeting at a. At p. He arrived home at p. Based on usual traffic patterns, Sarah predicts she can drive the first 15 miles at 60 miles per hour, the next 10 miles at 30 miles per hour, and the remainder of the drive at 70 miles per hour.

Suppose you have six quarters, nine dimes, and four pennies. Explain how you find the total value of all the coins. Do you find it helpful to use a table when solving coin problems? Why or why not? When solving a uniform motion problem, how does drawing a diagram of the situation help you?

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This book is Creative Commons Attribution License 4. Skip to Content Go to accessibility page. Intermediate Algebra 2e 2. My highlights. Table of contents. Answer Key. By the end of this section, you will be able to: Solve coin word problems Solve ticket and stamp word problems Solve mixture word problems Solve uniform motion applications. Before you get started, take this readiness quiz.

Determine the types of coins involved. Create a table. Write in the value of each type of coin. Represent the number of each type of coin using variables. The number of nickels is defined in terms of the number of pennies, so start with pennies.

Step 4. Write the equation by adding the total value of all the types of coins. Solve the equation. How many nickels? Jesse has 7 pennies and 59 nickels. Solve coin word problems. Create a table to organize the information. Write in the total value of all the coins. Name what you are looking for. Use variable expressions to represent the number of each type of coin and write them in the table. Multiply the number times the value to get the total value of each type of coin.

Translate into an equation. It may be helpful to restate the problem in one sentence with all the important information. Then, translate the sentence into an equation. Write the equation by adding the total values of all the types of coins. Solve the equation using good algebra techniques. Determine the types of stamps involved. Identify we are looking for.

Write variable expressions to represent the number of each type of stamp. Write the equation from the total values. How many cent stamps? Danny bought ten cent stamps and twenty-five cent stamps. Determine the types of tickets involved. Represent the number of each type of ticket using variables.

This means the number of reduced-fare tickets is 40 less the number of full-fare tickets. Multiply the number times the value to get the total value of each type of ticket. Write the equation by adding the total values of each type of ticket. How many reduced-fare? Check the answer. Answer the question. They sold 26 full-fare and 14 reduced-fare tickets. Determine what is being mixed.

The 25 pounds of trail mix will come from mixing raisins and nuts. As before, we fill in a chart to organize our information.

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