Question

    ‘Ishan’ started working alone and completed 20% of

    the work in 10 days. After that, he was joined by ‘John’ and they both together completed the remaining work in 16 days. Find the time taken by ‘John’ to finish the same work alone.
    A 25 days Correct Answer Incorrect Answer
    B 14 days Correct Answer Incorrect Answer
    C 16 days Correct Answer Incorrect Answer
    D 18 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ Let the total work be ‘100v’ units Efficiency of ‘Ishan’ = (0.20×100v)/10=(20v/10) units per day Efficiency of ‘Ishan’ and ‘John’ together = (0.80×100v)/16=(80v/16) units per day Efficiency of ‘John’ = (80v/16)−(20v/10)=(100v/16) units per day Required time = 100v/(100v/16)=16 days

    Practice Next