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30 August, 12:38

A jet ski with average speed of 60 mph left a pier by the river upstream. Fifteen minutes after its motor broke, and it began drifting downstream for 3 hours and 45 minutes until reached another pier, which was 2 miles away down the river from the original pier. What is the rate of the current, in mph?

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  1. 30 August, 13:25
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    4.25 mph

    Step-by-step explanation:

    Speed, distance, and time are related by ...

    ... speed = distance/time

    ... distance = speed · time

    ___

    If we let x represent the current speed in miles per hour, the number of miles the jet ski goes upstream is ...

    ... 0.25 (60 - x)

    The number of miles it drifts downstream is 2 more than that, or ...

    ... 0.25 (60 - x) + 2

    The speed it drifts downstream is x, and that speed is equal to the distance divided by the time (3.75 hours):

    ... x = (0.25 (60 - x) + 2) / 3.75

    Multiplying by 3.75, we have ...

    ... 3.75x = 17 - 0.25x

    ... 4x = 17

    ... x = 17/4 = 4.25

    The rate of the current is 4.25 miles per hour.
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