A is 50% more efficient than B. C does half of the work done by A and B together in the same time. If C alone can do the work in 40 days, then A, B and C together can do the work in: MCQ with Answer and Explanation
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Question #1
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A can complete a work in 16 days and B can complete the same work in 26 days. If they work together, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Combined rate = 1/16 + 1/26. Time = 1 ÷ combined rate = 9.9 days.
Combined rate = 1/16 + 1/26. Time = 1 ÷ combined rate = 9.9 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 33 days and B in 43 days. If both work together, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Combined rate = 1/33 + 1/43. Time = 18.67 days.
Combined rate = 1/33 + 1/43. Time = 18.67 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can complete a project in 20 days and B in 30 days. If they work on alternate days starting with A, in how many days will the project be completed?
Correct Answer: Option A
Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In a 2-day cycle (A then B), work completed = 3 + 2 = 5 units. Number of cycles required = 60 / 5 = 12 cycles. Total time = 12 * 2 = 24 days.
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. In a 2-day cycle (A then B), work completed = 3 + 2 = 5 units. Number of cycles required = 60 / 5 = 12 cycles. Total time = 12 * 2 = 24 days.
This question belongs to:
Maths
Time and Work
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