Question

Traveling with the current, a boat travels a distance 1. 5 times greater than it does when traveling against the current in the same amount of time. What is the speed of the boat in still water if the speed of the current is 1. 5 mph?.

Answer 1

The speed of the boat in still water if the speed of the current is 1.5mph is equal to 7.5mph.

Solution:

We have to define the terms in this question

We have Sc = Speed of the current = 1.5mph

We have Sb = Speed of the boat in the still water

We have this equation:

Sb + Sc = 1.5(Sb - Sc)

Sb + Sc = 1.5Sb - 1.5Sc

We have to collect the like terms

Sb - 1.5Sb = -1.5Sc - Sc

-0.5Sb = -2.5Sc

We divide through this equation by the value of Sb

$\frac{-0.5Sb}{-0.5} =\frac{-2.5Sc}{-0.5}$

Sb = 5Sc

Given that the speed of current Sc = 1.5. then

Sb = 5*1.5

Sb = 7.5

In conclusion, the speed of the boat in still water at 1.5mph = 7.5mph

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