Multiple Choice Questions on A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream........... for Civil Services Exam (CSAT) Preparation

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Multiple Choice Questions

A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream...........

Math and Mental Ability Boats and Streams
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    A boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream. If the speed of the boat in still water is 10 mph, the speed of the stream is:

    2 mph

    Correct Answer

    2.5 mph

    Incorrect Answer

    3 mph

    Incorrect Answer

    4 mph

    Incorrect Answer
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    Explanation:

    Let the speed of the stream x mph. Then,

    Speed downstream = (10 + x) mph,

    Speed upstream = (10 - x) mph.

    36 - 36 = 90
    (10 - x) (10 + x) 60

     72x x 60 = 90 (100 - x2)

     x2 + 48x - 100 = 0

     (x+ 50)(x - 2) = 0

     x = 2 mph.

    Hence, option 1 is the correct answer.

    By: Amit Kumar
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