Multiple Choice Questions on A does 1 2 as much work as B in 3 4 of the time If together they take 18 days to complete how ........... for Bihar civil service (BPSC) Preparation

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Multiple Choice Questions

A does 1 2 as much work as B in 3 4 of the time If together they take 18 days to complete how ...........

Quantitative Aptitude (CSC) Time and work
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     A does 1/2 as much work as B in 3/4 of the time. If together they take 18 days to complete, how much time shall B to do it?

    30 days

    Correct Answer

    35 days

    Incorrect Answer

    40 days

    Incorrect Answer

    none of these

    Incorrect Answer
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    Explanation:

    Let's say B takes Xdays to finish 1 job, then 
    A will take 3/4(X) days to finish 0.5 job. 
    Now we know that 
    18(1/X + 0.5/0.75X) = 1 
    1/X + 50/75X = 1/18 
    1/X (1 + 10/15) = 1/18 
    X = 30 

    Hence, option 1 is the correct answer.

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