A can complete a work in 24 days and B in 29 days. If they work together, the work will be completed in: MCQ with Answer and Explanation
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Question #1
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A can complete a work in 14 days and B in 37 days. If both work together, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Combined rate = 1/14 + 1/37. Time = 10.16 days.
Combined rate = 1/14 + 1/37. Time = 10.16 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 29 days and B in 27 days. If both work together, in how many days will the work be completed?
Correct Answer: Option B
Explanation:
Combined rate = 1/29 + 1/27. Time = 13.98 days.
Combined rate = 1/29 + 1/27. Time = 13.98 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
Correct Answer: Option C
Explanation:
Total work = LCM(10, 50) = 50 units. Efficiency of (A + B) = 5, efficiency of C = 1. Total efficiency of (A + B + C) = 5 + 1 = 6. Given A = B + C. So, (B + C) + B + C = 6 => 2(B + C) = 6 => B + C = 3. Since C = 1, B = 2. Time taken by B alone = 50 / 2 = 25 days.
Total work = LCM(10, 50) = 50 units. Efficiency of (A + B) = 5, efficiency of C = 1. Total efficiency of (A + B + C) = 5 + 1 = 6. Given A = B + C. So, (B + C) + B + C = 6 => 2(B + C) = 6 => B + C = 3. Since C = 1, B = 2. Time taken by B alone = 50 / 2 = 25 days.
This question belongs to:
Maths
Time and Work
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