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Chapter 7: Q.287 (page 716)

A boat travels 140 miles downstream in the same time as it travels 92 miles upstream. The speed of the current is 6mph. What is the speed of the boat?

Short Answer

Expert verified

The speed of boat is 29 mph .

Step by step solution

01

Step 1. Given Information.

A boat travels 140 miles downstream and travels 92 miles upstream.

The speed of the current is 6mph .

02

. Equations for Ratio and Proportion

Let the speed of boat be x .

The formula for speed is as :-

Speed=DistanceTimeTime=DistanceSpeed

Time taken in downstream =140x+6

Time taken in Upstream =92x-6

Since , Time taken is same. Therefore,

140x+6=92x-6

03

. Solving the Proportional equation .

Solving the equation :-

140x+6=92x-6140(x-6)=92(x+6)140x-840=92x+55248x=1392x=29

Therefore, The speed of boat is 29 mph .

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