A can complete a work in 25 days and B in 18 days. If both work together, 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 20 days and B in 30 days. They start together but A leaves after 4 days. In how many total days will the work be completed?
Correct Answer: Option A
Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In 4 days, work completed = 4 * (3 + 2) = 20 units. Remaining work = 60 - 20 = 40 units. Time taken by B to finish remaining work = 40 / 2 = 20 days. Total days = 4 + 20 = 24 days.
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In 4 days, work completed = 4 * (3 + 2) = 20 units. Remaining work = 60 - 20 = 40 units. Time taken by B to finish remaining work = 40 / 2 = 20 days. Total days = 4 + 20 = 24 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 20 days and B in 22 days. If they work together, the work will be completed in:
Correct Answer: Option A
Explanation:
Combined rate = 1/20 + 1/22. Required time = 10.48 days.
Combined rate = 1/20 + 1/22. Required time = 10.48 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can complete a work in 15 days and B can complete the same work in 20 days. If they work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Combined rate = 1/15 + 1/20. Time = 1 รท combined rate = 8.57 days.
Combined rate = 1/15 + 1/20. Time = 1 รท combined rate = 8.57 days.
This question belongs to:
Maths
Time and Work
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