A can complete a work in 28 days and B in 39 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 24 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 B
Explanation:
Combined rate = 1/24 + 1/19. Time = 1 ÷ combined rate = 10.6 days.
Combined rate = 1/24 + 1/19. Time = 1 ÷ combined rate = 10.6 days.
This question belongs to:
Maths
Time and Work
Question #2
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A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. Find the original number of workers.
Correct Answer: Option B
Explanation:
Let the original number of workers be x. Using M1 * D1 = M2 * D2: x * 100 = (x - 10) * 110 => 100x = 110x - 1100 => 10x = 1100 => x = 110.
Let the original number of workers be x. Using M1 * D1 = M2 * D2: x * 100 = (x - 10) * 110 => 100x = 110x - 1100 => 10x = 1100 => x = 110.
This question belongs to:
Maths
Time and Work
Question #3
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15 men can complete a work in 22 days. If 20 men work at the same rate, the work will be completed in:
Correct Answer: Option A
Explanation:
Total work = 330 man-days. Time = 330/20 = 16.5 days.
Total work = 330 man-days. Time = 330/20 = 16.5 days.
This question belongs to:
Maths
Time and Work
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