15 men can complete a work in 23 days. If 23 men work at the same rate, how many days are required? MCQ with Answer and Explanation
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Question #1
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A can complete a work in 22 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 C
Explanation:
Combined rate = 1/22 + 1/27. Time = 1 ÷ combined rate = 12.12 days.
Combined rate = 1/22 + 1/27. Time = 1 ÷ combined rate = 12.12 days.
This question belongs to:
Maths
Time and Work
Question #2
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A is twice as fast as B and B is thrice as fast as C. If C alone can complete the work in 24 days, in how many days can they together finish the work?
Correct Answer: Option B
Explanation:
Let efficiency of C = 1. Then efficiency of B = 3 * 1 = 3. Efficiency of A = 2 * 3 = 6. Total work = Efficiency of C * Time of C = 1 * 24 = 24 units. Combined efficiency of A, B and C = 6 + 3 + 1 = 10. Time taken together = 24 / 10 = 2.4 days.
Let efficiency of C = 1. Then efficiency of B = 3 * 1 = 3. Efficiency of A = 2 * 3 = 6. Total work = Efficiency of C * Time of C = 1 * 24 = 24 units. Combined efficiency of A, B and C = 6 + 3 + 1 = 10. Time taken together = 24 / 10 = 2.4 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 C
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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