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    Question

    Working alone, 'C' can complete a job in 30 days. 'D'

    takes 20% less time than 'C' to finish the same job. Calculate the percentage of work done by 'C' and 'D' together in 4 days.
    A 35% Correct Answer Incorrect Answer
    B 30% Correct Answer Incorrect Answer
    C 45% Correct Answer Incorrect Answer
    D 55% Correct Answer Incorrect Answer

    Solution

    ATQ, Time taken by 'D' alone:  0.8×30=24 days Total work: LCM of 24 and 30 = 120 units Efficiency of 'C': 120/30=4 units/day Efficiency of 'D': 120/24=5 units/day Combined efficiency of 'C' and 'D': 4+5=9 units/day Work done in 4 days: 9×4=36 units Percentage of total work done: (36/120)×100=30 Therefore, 'C' and 'D' together complete 30% of the work in 4 days.

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