Multiple choice

20 contractors of company X can complete a work in 8 days. 16 contractors of company Y can do it in 7.5 days. Find the ratio of capacity of contractors of company Y to company X.

  1. 6 : 7

  2. 2 : 9

  3. 4 : 3

  4. 5 : 7

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C Correct answer
AI explanation

Let the total work be the least common multiple of 8 and 7.5, which is 60 units. A contractor from company X completes 60 units divided by 160 man-days, equaling 3/8 units per day. A contractor from company Y completes 60 units divided by 120 man-days, equaling 1/2 units per day. The ratio of the capacity of company Y to company X is 1/2 to 3/8, which simplifies to 4:3.