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1 June, 22:34

After sailing 12 mi, a sailor changed direction and increased the boat's speed by 4 mph. an additional 18 mi was sailed at the increased speed. the total sailing time was 3 h. find the rate of the boat for the first 12 mi.

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  1. 1 June, 23:23
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    Let the speed for the first 12 mi be x mi/h, the speed for 18 mi was (x+4) mi/h

    thus given that

    time=distance/speed

    the average time will be:

    3 = (12+18) / (x+x+4)

    3=30 / (2x+4)

    solving for x we get

    3 (2x+4) = 30

    6x+6=30

    6x=24

    x=4 mi/hr

    Answer: 12 mi/hr
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