Multiple choice

A is thrice as good a workman as B and takes 16 days less to do a piece of work than B takes. Find the time in which B alone can complete the work? A, B से तीन गुना कार्यकुशल है और किसी कार्य को पूरा करने में B से 16 दिन कम लेता है तब B अकेला उसी कार्य को कितने समय में करेगा?

  1. 20 days/20 दिन

  2. 18 days/18 दिन

  3. 21 days/21 दिन

  4. 24 days/24 दिन
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D Correct answer
Explanation

Let B takes x days, so A takes x-16 days. Since A is thrice as efficient, A's work rate = 3 × B's rate: 1/(x-16) = 3 × (1/x). Solving: x = 3(x-16), so x = 3x - 48, giving 2x = 48 and x = 24. A takes 8 days, which is indeed 16 less than 24.

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