  # A motorboat traveling with the current went 105 mi in 5 h. Traveling against the current, it took 7 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current.rate of boat    mphrate of current    mph

Question

A motorboat traveling with the current went 105 mi in 5 h. Traveling against the current, it took 7 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current.

 rate of boat mph rate of current mph
check_circleExpert Solution
Step 1

Let x be the speed of the motorboat in still water and y be the speed of the current.

The rate of motorboat traveling with current is, x + y.

Given that the boat travelling with the current went 105 mi in 5 h.

It is known that, speed is equal to quotient of distance and time.

Use the speed formula to find the unknowns as follows.

Step 2

The rate of motorboat traveling against the current is, x y.

Given that the boat travelling against the current took 105 mi in 7 h.

Use the speed formula to find the unknowns as follows.

Step 3

Add equation (1) and (2) results, 2x = 36.

Therefore, x = 18.

Sub...

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