9 men can complete a work in 25 days. If 13 men work at the same rate, 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, B and C can do a piece of work in 10, 15 and 30 days respectively. If they work on alternate days in the order A, B, C, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Total work = LCM(10, 15, 30) = 30 units. Efficiency of A = 3, B = 2, C = 1. In a 3-day cycle (A on day 1, B on day 2, C on day 3), work completed = 3 + 2 + 1 = 6 units. Number of cycles required = 30 / 6 = 5 cycles. Total days = 5 * 3 = 15 days.
Total work = LCM(10, 15, 30) = 30 units. Efficiency of A = 3, B = 2, C = 1. In a 3-day cycle (A on day 1, B on day 2, C on day 3), work completed = 3 + 2 + 1 = 6 units. Number of cycles required = 30 / 6 = 5 cycles. Total days = 5 * 3 = 15 days.
This question belongs to:
Maths
Time and Work
Question #2
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A and B work together. A alone can complete the work in 30 days and B alone in 36 days. What percentage of the total daily work is contributed by A?
Correct Answer: Option C
Explanation:
A share = (1/30) / (1/30+1/36) ×100 = 54.55%.
A share = (1/30) / (1/30+1/36) ×100 = 54.55%.
This question belongs to:
Maths
Time and Work
Question #3
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A and B work together. A alone can complete the work in 18 days and B alone in 24 days. What percentage of the total daily work is contributed by A?
Correct Answer: Option A
Explanation:
A share = (1/18) / (1/18+1/24) ×100 = 57.14%.
A share = (1/18) / (1/18+1/24) ×100 = 57.14%.
This question belongs to:
Maths
Time and Work
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