Multiple Choice Questions on A can do a piece of work in 20 days and B in 15 days With help of C they finish the work in 5 days I........... for Common University Entrance Test (CUET) Preparation

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Multiple Choice Questions

A can do a piece of work in 20 days and B in 15 days With help of C they finish the work in 5 days I...........

Quantitative Aptitude (CUET) Time and work
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    A can do a piece of work in 20 days and B in 15 days. With help of C, they finish the work in 5 days. In how many days C alone can do the same work?

    5

    Incorrect Answer

    6

    Incorrect Answer

    10

    Incorrect Answer

    12

    Correct Answer
    Explanation:

    Let the efficiency of C be x and work gets finished in 5 days.
    3 × 5 + 4 × 5 + x × 5 = 60
    15 + 20 + 5x = 60
    x = 5
    Efficiency of C = 5
    Time taken by C to complete the full work = 60/5 = 12 days
     

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