Multiple Choice Questions on A alone can do a work in 20 days B is 25 more efficient than A A and B started working and worked fo........... for IBPS (PO/SO) Preparation

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Multiple Choice Questions

A alone can do a work in 20 days B is 25 more efficient than A A and B started working and worked fo...........

Quantitative Aptitude(IBPS PO) Time and work
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    A alone can do a work in 20 days. B is 25% more efficient than A. A and B started working and worked for 4 days, then C alone completed the remaining job in 22 days. In how many days C alone can complete the entire job?

    30

    Incorrect Answer

    35

    Incorrect Answer

    40

    Correct Answer

    45

    Incorrect Answer

    42

    Incorrect Answer
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    Explanation:
    A alone can do = 20days
    Efficiency ratio of A & B= 4 : 5
    Time required will be in ratio = 5:4
    Hence B alone will do it in =16 days
    LCM of (16,20)= 80 ,
    Assume work size of 80 units
    1 day work of A= 4 units
    1 day work of B= 5 units
    Work done by both in 4 days= 4*(5+4)= 36 units
    Work left= 80-36= 44 units
    Now C takes 22 days to complete= 44 units.
    Therefore, the efficiency of C = 44/22 = 2
    Hence time taken by C alone to complete the work= 80/2 = 40 days

    By: Munesh Kumari
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