A and B together can do a piece of work in 6 days. If A alone can do it in 18 days, in how many days can B alone complete the work? MCQ with Answer and Explanation
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Question #1
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A can complete a piece of work in 18 days, B in 24 days and C in 36 days. If they work together, in how many days will they finish the work?
Correct Answer: Option B
Explanation:
Total work = LCM(18, 24, 36) = 72 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9 units/day. Time taken together = 72 / 9 = 8 days.
Total work = LCM(18, 24, 36) = 72 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9 units/day. Time taken together = 72 / 9 = 8 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. They start working together. Find the number of days required to complete the work.
Correct Answer: Option B
Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Combined efficiency = 6 + 5 + 4 = 15 units/day. Time taken = 60 / 15 = 4 days.
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. 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 25 days and B in 25 days. If both work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Combined rate = 1/25 + 1/25. Time = 12.5 days.
Combined rate = 1/25 + 1/25. Time = 12.5 days.
This question belongs to:
Maths
Time and Work
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