Multiple choice

Sukhdeep works for 5 hours a day for 10 days and completes a piece of work. Rakesh works for 8 hours a day for 20 days to complete the same job. Find the ratio of their efficiencies.

  1. 3.2 : 1

  2. 3 : 2

  3. 2.5 : 1

  4. 4 : 1

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A Correct answer
Explanation

Sukhdeep total work = 5 * 10 = 50 units. Rakesh total work = 8 * 20 = 160 units. Efficiency ratio = 160/50 = 3.2 : 1.

AI explanation

Using the formula that work equals time multiplied by daily hours, Sukhdeep works a total of 5 hours times 10 days, equaling 50 hours, while Rakesh works 8 hours times 20 days, equaling 160 hours. Because efficiency is inversely proportional to the total time taken for the same work, the ratio of their efficiencies is 160 to 50. Simplifying this ratio gives 16 to 5, which results in 3.2 to 1.