Please Help A boat traveled miles downstream in 1.5 hours. The return trip upstream took 2 hours. Find the boat’s rate if the rate of the current is 3 miles per hour.

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Cant help you with that im sorry

21 mph

Step-by-step explanation:

Let s = rate of the boat [in still water]

                                                     S    |   T   |   D

1) With current [downstream]    s + 3 | 1.5 | 1.5(s + 3)

2) Against current [upstream]    s - 3 | 2 | 2(s - 3)

Since the distance is the same in both cases, we can equate the two:

1.5(s + 3) = 2(s - 3) -> multiply both sides by 10

15(s + 3) = 20(s - 3) -> expand both sides

15s + 45 = 20s - 60 -> subtract 45 from both sides

15s = 20s - 105 -> subtract 20s from both sides

-5s = - 105 -> divide either side by -5

s = 21 mph

vbbv

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2

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