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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.

Credit will only be earned for showing an algebra equation and solving it using algebra. Do not use the letter “x” in your equation. Use letter(s) that best describe the situation above.

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azasdeg

Cant help you with that im sorry

Supernova11

Answer:

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

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