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    Monika is twice as efficient as Ritu and takes 60 days less than Ritu to complete a job. Find the time in which they can finish the job together.
    Question

    Monika is twice as efficient as Ritu and takes 60 days less than Ritu to complete a job.
    Find the time in which they can finish the job together.

    A.

    70 days

    B.

    40 days

    C.

    50 days

    D.

    22 days

    Correct option is B

    Given:
    The efficiency of Monika = 2 × efficiency of Ritu
    Concept used:
    When work done is same, efficiency ∝ (1/time)
    Work = time × efficiency
    Solution:
    The ratio of efficiency of Monika to Ritu = 2 ∶ 1
    The ratio of time taken by Monika and Ritu = 1 ∶ 2
    Difference in time taken by Ritu and Monika = 2 - 1 = 1 unit
    The difference in time taken by Ritu and Monika = 60 days
    1 unit → 60 days
    Then, 2 units → 120 days

    Time taken by both together to finish the work =1202+1=1203=40 days= \frac{120}{2 + 1} = \frac{120}{3} = 40 \text{ days}​​

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