Multiple choice

In a house, 20 labourers can renovate a room in sixteen days. 16 supervisors can renovate the same room in 15 days. What is the ratio of the work capacities of a labourer and a supervisor?

  1. 3 : 4

  2. 4 : 3

  3. 5 : 3

  4. 4 : 7

  5. None of these

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A Correct answer
Explanation

Work = (Labourers * Days) = (Supervisors * Days). 20 * 16 * L = 16 * 15 * S. 320L = 240S. L/S = 240/320 = 24/32 = 3/4.

AI explanation

Using the work equivalence method, 20 labourers take 16 days and 16 supervisors take 15 days to complete the same room. The work capacity ratio of a labourer to a supervisor is found by (16 supervisors times 15 days) to (20 labourers times 16 days). This gives the ratio 240 to 320. Simplifying this yields the ratio 3 to 4.