A can complete a piece of work in 12 days and B in 15 days. They work together for 3 days and then B leaves. In how many days will A complete the remaining work? MCQ with Answer and Explanation
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Question #1
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11 men can complete a work in 15 days. If 15 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Total work = 11 × 15 = 165 man-days. Required days = 165/15 = 11.0 days.
Total work = 11 × 15 = 165 man-days. Required days = 165/15 = 11.0 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 22 days and B in 44 days. After working together for 5 days, what percentage of work remains?
Correct Answer: Option B
Explanation:
Remaining work = (1 - 5*(1/22+1/44))×100 = 65.91%.
Remaining work = (1 - 5*(1/22+1/44))×100 = 65.91%.
This question belongs to:
Maths
Time and Work
Question #3
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A can complete a piece of work in 10 days, B in 15 days, and C in 20 days. A and C worked together for 2 days and then A was replaced by B. In how many days altogether was the work completed?
Correct Answer: Option A
Explanation:
Total work = LCM(10, 15, 20) = 60 units. Efficiency of A = 6, B = 4, C = 3. A and C work for 2 days: work done = 2 * (6 + 3) = 18 units. Remaining work = 60 - 18 = 42 units. B and C complete remaining work together with efficiency = 4 + 3 = 7 units/day. Time taken for remaining work = 42 / 7 = 6 days. Total time = 2 + 6 = 8 days.
Total work = LCM(10, 15, 20) = 60 units. Efficiency of A = 6, B = 4, C = 3. A and C work for 2 days: work done = 2 * (6 + 3) = 18 units. Remaining work = 60 - 18 = 42 units. B and C complete remaining work together with efficiency = 4 + 3 = 7 units/day. Time taken for remaining work = 42 / 7 = 6 days. Total time = 2 + 6 = 8 days.
This question belongs to:
Maths
Time and Work
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