Multiple choice

A alone can finish a piece of work in 10 days and B alone can finish it in 15 days. If they work together and finish it, then out of the total wage of Rs. 75, A will get _________.

  1. Rs. 30

  2. Rs. 37.50

  3. Rs. 45

  4. Rs. 50.50
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work done by A in one day is 1/10, by B is 1/15. Ratio of work (and thus wages) is 1/10 : 1/15 = 3 : 2. A's share = (3/5) * 75 = 45.

AI explanation

When working together, wages are divided in direct proportion to their efficiency, which is the inverse of the number of days each person takes to complete the work alone. The efficiency ratio of A to B is the inverse of 10 to 15, which simplifies to 3 to 2. The total wage of Rs. 75 is divided into 5 parts, making each part Rs. 15. A's share is 3 parts, which calculates to Rs. 45.

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