A can complete a work in 22 days. What percentage of work will A complete in 6 days? MCQ with Answer and Explanation
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Question #1
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If 5 men and 2 boys can do in a day 4 times as much work as a man and a boy together, find the ratio of the efficiency of a man to that of a boy.
Correct Answer: Option D
Explanation:
Given: 5M + 2B = 4 * (1M + 1B) => 5M + 2B = 4M + 4B => 1M = 2B => M / B = 2 / 1. The ratio of efficiency of a man to a boy is 2 : 1.
Given: 5M + 2B = 4 * (1M + 1B) => 5M + 2B = 4M + 4B => 1M = 2B => M / B = 2 / 1. The ratio of efficiency of a man to a boy is 2 : 1.
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Maths
Time and Work
Question #2
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A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately, A beginning, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Total work = LCM(9, 12) = 36 units. Efficiency of A = 4, B = 3. In 2 days (A + B), work done = 4 + 3 = 7 units. In 10 days (5 pairs of 2 days), work done = 7 * 5 = 35 units. Remaining work = 36 - 35 = 1 unit. On the 11th day, it is A's turn. Time taken by A to complete 1 unit = 1/4 day. Total time = 10 + 1/4 = 10(1/4) days.
Total work = LCM(9, 12) = 36 units. Efficiency of A = 4, B = 3. In 2 days (A + B), work done = 4 + 3 = 7 units. In 10 days (5 pairs of 2 days), work done = 7 * 5 = 35 units. Remaining work = 36 - 35 = 1 unit. On the 11th day, it is A's turn. Time taken by A to complete 1 unit = 1/4 day. Total time = 10 + 1/4 = 10(1/4) days.
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Maths
Time and Work
Question #3
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A can complete a work in 22 days and B in 12 days. If they work together, the work will be completed in:
Correct Answer: Option A
Explanation:
Combined rate = 1/22 + 1/12. Required time = 7.76 days.
Combined rate = 1/22 + 1/12. Required time = 7.76 days.
This question belongs to:
Maths
Time and Work
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