Multiple Choice Questions on A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respective........... for Mathematics - All Exams Preparation

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    A man is riding a bike with front and back wheel circumference of 40 inches and 70 inches respectively. If the man rides the bike on a straight road without slippage, how many inches will the man have travelled when the front wheel has made 15 revolutions more than the back wheel?

    1200

    Incorrect Answer

    1400

    Correct Answer

    1600

    Incorrect Answer

    1800

    Incorrect Answer
    Explanation:

    Given the ratio of the circumference of front wheel  is 40 inches and back wheel is 70 inches 
    Distance covered = Circumference of the wheel × No. of Revolutions made by the wheel
    If n is the number of revolutions made by back wheel, the number of revolutions made by front wheel is n+15
    Distance covered by both the wheels is the same
    40*(n+3)=70n
    n=20
                    Front wheel    :      Back Wheel 

    Circumference       40      :      70 
    Revolutions           35      :      20
    Distance covered  :  40×35 = 70×20 = 1400 inches.


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