If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be: MCQ with Answer and Explanation
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Question #1
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A and B work together. A alone can complete the work in 30 days and B alone in 32 days. What percentage of the total daily work is contributed by A?
Correct Answer: Option B
Explanation:
A share = (1/30) / (1/30+1/32) ×100 = 51.61%.
A share = (1/30) / (1/30+1/32) ×100 = 51.61%.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 14 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Combined rate = 1/14 + 1/19. Time = 1 ÷ combined rate = 8.06 days.
Combined rate = 1/14 + 1/19. Time = 1 ÷ combined rate = 8.06 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can finish a work in 15 days and B in 20 days. They work together for 6 days and then B leaves. In how many days will A finish the remaining work?
Correct Answer: Option A
Explanation:
Total work = LCM(15, 20) = 60 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 6 days, work done = 6 * 7 = 42 units. Remaining work = 60 - 42 = 18 units. Time taken by A to complete remaining work = 18 / 4 = 4.5 days.
Total work = LCM(15, 20) = 60 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 6 days, work done = 6 * 7 = 42 units. Remaining work = 60 - 42 = 18 units. Time taken by A to complete remaining work = 18 / 4 = 4.5 days.
This question belongs to:
Maths
Time and Work
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