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Discussion :: Time and Work

  1. A hostel has sufficient food for 200 students for 50 days. After 10 days, 50 more students join the hostel. Now, the food will continue for how many days?
    2. A.
    20 days
    B.
    32 days
    C.
    40 days
    D.
    50 days

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    Answer : Option B

    Explanation :

    ATQ, M = 200, D = 50
    M1 = 200, D1 = (50-10) = 40, M2 = 200+50=250, D2=?

    Apply the formula:

    [M1 * D1 * H1]/ W1 = [M2 *D2 * H2]/ W2

    But here W1, W2, H1, and H2 are not present so assume these to 1.

    So, M1 * D1 = M2 * D2

    After 10 days, 200 students can eat for 40 days, but on the other hand, 50 more students join the hostel. So, 250 men can eat it for D2 days
    So, 200 * 40 = 250 * D2
    D2 = 8000/250

    So, the food will continue for 32 days.

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