A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes. Which system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt

Question

Mathematics

Meredith Pierce

5 April, 05:21

A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes. Which system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt

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Answers (1)

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Cassius Hinton · Answer 1

9 = (x+y) / 2

18=x+y

y=18-x

...

9=1.5 (x-y), using y from above:

9=1.5 (x-18+x)

6=2x-18

2x=24

x=12, and since 9 = (x+y) / 2,

9 = (12+y) / 2

12+y=18

y=6

So the boat has a speed of 12mph and the stream has a speed of 6mph