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Username: Password: Register in one easy step! Reset your password if you forgot it. Word Problems: Travel and Distance Word. Solvers Solvers. Lessons Lessons. Answers archive Answers. This Lesson Selected problems from the archive on the boat floating Upstream and Downstream was created by by ikleyn : View SourceShow About ikleyn : Selected problems from the archive on the boat floating Upstream and Downstream This lesson is a collection of selected problems from the archive of this site on a boat floating Upstream and Downstream Problem 1 A canoe traveled Downstream with the current and went a distance of upstream downstream word problems worksheet not miles in three hours.

On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip. Find the rate of the current. It is the canoe speed in still water. It is the current speed. Problem 2 It took an hour for a boat to go six miles upstream.

Using the same path, the boat took only 45 minutes to wokrsheet. What was the speed of the boat in still water? What was the speed of the current? Thus you got the boat's speed in still water. It is the speed of the current. Problem 3 A boat takes 3 hours to go 12 miles upstream. It can go 18 miles downstream in the same time.

Find the rate of the current and the rate of the boat in still water. Hint: Because the current pushes the boat when it is going downstream, the rate of the boat downstream is the sum of the rate of the boat and the rate of the current. The current slows down the boat when it is going upstream, so the rate of the boat upstream is the difference of the rate of the boat and the rate of the current.

It is the boat speed relative to the river banks, when the boat moves upstream. As they explained in the "Hint" section, this speed is the difference of the boat speed in still water u and the current speed v. Again, it is the speed of priblems boat relative to the river banks, upstream downstream word problems worksheet not the boat moves downstream.

As they explained in the "Hint" section, this speed is the Upstream Downstream Word Problems Worksheet Not Found sum of the boat upstream downstream word problems worksheet not in the still water u and the current speed v. Thus the speed of the boot in still water is 5 mph. The rate of the current is 1 mile per hour.

The rate of the boat workshedt still water is Upstream Downstream Word Problems Worksheet Excel 5 miles per hour. Problem 4 Renee rows a boat downstream for 27 miles. The return trip upstream took 24 hours longer. If the current flows at 4 mph, how fast does Renee row in still water? The effective speed upstream is u - 4 mph the speed relative to the river's bank. The time spent moving downstream is hours.

The time spent moving upstream is hours. Renee's boat speed in still water is 5 mph. My other lessons on Travel and Distance problems in this site are - Travel and Distance problems - Travel and Distance problems for uppstream bodies moving in opposite downstfeam - Travel and Distance problems for two bodies moving in the same direction upstream downstream word problems worksheet not up - Using fractions to solve Travel problems - Wind and Downstteam problems - More problems on upstream and downstream round trips - Wind and Current problems solvable by quadratic equations - Unpowered raft floating downstream along a river - Selected problems from the archive on a plane flying with and against the wind - Upstream downstream word problems worksheet not Travel and Distance problems from the archive - Had a car move faster it would arrive sooner - How far do you live from school?

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The sum of two numbers is Find the two numbers? It takes 3 hours for a boat to travel 27 miles upstream. The same boat can travel 30 miles downstream in 2 hours. Find the speeds of the boat and the current? How many children and how many adults attended? Let us take the number of children who attended the fair as x, the number of adults who attended the fair as y.

So, the number of children attended the small fair is , the number of adults attended the fair is Find the number of notes of each type. A family goes to the cinema. Calculate the costs of each adult and child ticket. The area of a rectangle gets reduced by 10 square units if its length is reduced by 4 units and breadth is increase by 2 units. If we increased the length by 3 units and breadth by 4 units, the area is increased by 96 square units.

Find the Upstream Downstream Word Problems Worksheet In length and breadth of the rectangle. The area of a rectangle gets reduced by 10 square units if its length is reduced by 4 units and breadth is increased by 2 units.

Find fractions. The perimeter of a rectangle is cm. The length is 15 cm greater than the width. Find the dimensions. If Mr. David and his son together had dollars, and Mr.

David had 10 times as much as his son, how much money had each? You must be logged in to post a comment. Skip to content We have provided several problems that involve relations among known and unknown numbers and can be put in the form of linear equations. Steps to Solve Word Problems on Linear Equations Below are the simple steps to solve the linear equations word problems.

Read the problem carefully and make a note of what is given in the question and what is required. Denote the unknown things as the variables like x, y, z, a, b,. Translate the given word problem into mathematical statements. Form the linear equations in one variable by using the conditions provided in the question.

Solve the unknown parameters from the equation. Verify the condition with the obtained answer ad cross check whether it is correct or not. Linear Equations Examples with Answers Example 1. Solution: Let l be the length of the swimming pool, w be the width of the swimming pool.

Example 3. The sum of three consecutive even numbers is What are the numbers? According to the question, the sum of consecutive even numbers is Hence, the three consecutive even numbers are 40, 42, Example 4.

When five is added to three more than a certain number, the result is What is the number? Solution: Let us take the number as x. According to the question, Add 5 to the three more than a certain number.

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