A can complete a work in 22 days and B in 26 days. If both work together, 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 is twice as efficient as B and can finish a job in 20 days less than B. In how many days can they complete the work together?
Correct Answer: Option C
Explanation:
Efficiency ratio A : B = 2 : 1. Time ratio A : B = 1 : 2. Difference = 1 part = 20 days. So A takes 20 days and B takes 40 days. Total work = 40 units. Combined efficiency = 3. Time taken together = 40 / 3 = 13(1/3) days.
Efficiency ratio A : B = 2 : 1. Time ratio A : B = 1 : 2. Difference = 1 part = 20 days. So A takes 20 days and B takes 40 days. Total work = 40 units. Combined efficiency = 3. Time taken together = 40 / 3 = 13(1/3) days.
This question belongs to:
Maths
Time and Work
Question #2
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13 men can complete a work in 29 days. If 17 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
Total work = 13 × 29 = 377 man-days. Required days = 377/17 = 22.18 days.
Total work = 13 × 29 = 377 man-days. Required days = 377/17 = 22.18 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 29 days. If they work together, in how many days will the work be completed?
Correct Answer: Option B
Explanation:
Combined rate = 1/24 + 1/29. Time = 1 ÷ combined rate = 13.13 days.
Combined rate = 1/24 + 1/29. Time = 1 ÷ combined rate = 13.13 days.
This question belongs to:
Maths
Time and Work
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