15 men can complete a work in 19 days. If 19 men work at the same rate, in how many days will the work be completed? MCQ with Answer and Explanation
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Question #1
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A can complete a work in 12 days and B in 24 days. After working together for 5 days, what percentage of work remains?
Correct Answer: Option C
Explanation:
Remaining work = (1 - 5*(1/12+1/24))×100 = 37.5%.
Remaining work = (1 - 5*(1/12+1/24))×100 = 37.5%.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 32 days and B in 26 days. If both work together, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Combined rate = 1/32 + 1/26. Time = 14.34 days.
Combined rate = 1/32 + 1/26. Time = 14.34 days.
This question belongs to:
Maths
Time and Work
Question #3
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A and B can complete a work together in 15 days. They work together for 3 days, then A leaves. If B alone completes the remaining work in 16 days, in how many days can A alone complete the whole work?
Correct Answer: Option A
Explanation:
Let the total work be 60 units. Combined efficiency of A and B = 60 / 15 = 4 units/day. In 3 days, they complete 3 * 4 = 12 units. Remaining work = 60 - 12 = 48 units. B completes 48 units in 16 days, so B's efficiency = 48 / 16 = 3 units/day. A's efficiency = 4 - 3 = 1 unit/day. Time taken by A alone = 60 / 1 = 60 days.
Let the total work be 60 units. Combined efficiency of A and B = 60 / 15 = 4 units/day. In 3 days, they complete 3 * 4 = 12 units. Remaining work = 60 - 12 = 48 units. B completes 48 units in 16 days, so B's efficiency = 48 / 16 = 3 units/day. A's efficiency = 4 - 3 = 1 unit/day. Time taken by A alone = 60 / 1 = 60 days.
This question belongs to:
Maths
Time and Work
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