A can complete a work in 30 days and B in 29 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 12 days and B can complete the same work in 27 days. If they work together, in how many days will the work be completed?
Correct Answer: Option B
Explanation:
Combined rate = 1/12 + 1/27. Time = 1 ÷ combined rate = 8.31 days.
Combined rate = 1/12 + 1/27. Time = 1 ÷ combined rate = 8.31 days.
This question belongs to:
Maths
Time and Work
Question #2
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A, B, and C can complete a work in 10, 12, and 15 days respectively. If they all work together, how long will they take to finish the work?
Correct Answer: Option A
Explanation:
Total work (LCM of 10, 12, 15) = 60 units. Efficiencies: A = 6, B = 5, C = 4. Total combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.
Total work (LCM of 10, 12, 15) = 60 units. Efficiencies: A = 6, B = 5, C = 4. Total combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.
This question belongs to:
Maths
Time and Work
Question #3
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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
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