Question

A motorboat travels 217 miles in 7 hours going upstream. It travels 413 miles going downstream in the same amount of time. What is

the rate of the boat in still water and what is the rate of the current?

Answer 1

Explanation:

Let B be the Boat speed in still water

Let C be the current speed.

7(B - C) = 217

7B - 7C = 217

7B = 7C + 217

7(B + C) = 413

7B + 7C = 413

7C + 217 + 7C = 413

14C = 196

C = 14 mi/hr WOW that a fast stream

7B = 7(14) + 217

7B = 315

B = 45 mi/hr