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CAT 2002 — QA Question 44

Pipes & CisternsEasy
Passage / Data

Answer the following question based on the information given below.

There are 11 alphabets A, H, I, M, O, T, U, V, W, X, Y. They are called symmetrical alphabets. The remaining alphabets are known as asymmetrical alphabets.

Three small pumps and one large pump are filling a tank. Each of the three small pumps works at 2/3rd the rate of the large pump. If all 4 pumps work at the same time, then they should fill the tank in what fraction of time that it would have taken the large pump alone?

Answer & solution

  • A

    47

  • 13

  • C

    23

  • D

    34

Solution

Work done by the large pump = 3 units

∴ Work done by the 3 small pumps = 2 × 3 = 6 units

∴ Work done by all 4 pumps together = 9 units

∴Rate of work of the large pumpRate of work of all 4 pumps=39=13

Rate of work is inversely proportional to time taken for completing the work.

∴TIme taken by the large pumpTime taken by all 4 pumps=31

Hence, option (b).

CAT 2002 QA Q44: Three small pumps and one large pump are filling a tank. Each of the three small pumps works at 2/3rd the rate — Solution | TheCATExam