Time and Work - Buckets and Drum

MAT 2018 · Mathematical Skills · Easy · Time and Work

Bucket P has thrice the capacity as bucket Q. It takes 60 turns for bucket P to fill the empty drum. How many turns will it take for both the buckets P and Q together to fill the empty drum?

  1. A.

    30

  2. B.

    40

  3. C.

    45

  4. D.

    90

Answer

C

Explanation

Let capacity of bucket Q = 11 unit. Capacity of bucket P = 33 units. Total capacity of the drum = 60×3=18060 \times 3 = 180 units. Combined capacity of P and Q per turn = 3+1=43 + 1 = 4 units. Number of turns required together = 1804=45\frac{180}{4} = 45 turns.

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