21 men can complete a work in 29 days. If 29 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 11 days and B in 22 days. After working together for 5 days, what percentage of work remains?
Correct Answer: Option B
Explanation:
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.
Remaining work = (1 - 5*(1/11+1/22))×100 = 31.82%.
This question belongs to:
Maths
Time and Work
Question #2
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A and B can do a piece of work in 12 days, B and C in 15 days, and C and A in 20 days. In how many days will A, B, and C finish it working together?
Correct Answer: Option D
Explanation:
2(A + B + C)'s 1-day work = 1/12 + 1/15 + 1/20 = 12/60 = 1/5. Therefore, (A + B + C)'s 1-day work = 1/10. Working together, they finish in 10 days.
2(A + B + C)'s 1-day work = 1/12 + 1/15 + 1/20 = 12/60 = 1/5. Therefore, (A + B + C)'s 1-day work = 1/10. Working together, they finish in 10 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can do a work in 24 days and B in 32 days. If they work together and get Rs. 5600 for the work, what is B's share?
Correct Answer: Option D
Explanation:
Ratio of time taken by A : B = 24 : 32 = 3 : 4. Ratio of efficiency of A : B = 4 : 3. Total ratio parts = 4 + 3 = 7. B's share = (3 / 7) * 5600 = 3 * 800 = Rs. 2400.
Ratio of time taken by A : B = 24 : 32 = 3 : 4. Ratio of efficiency of A : B = 4 : 3. Total ratio parts = 4 + 3 = 7. B's share = (3 / 7) * 5600 = 3 * 800 = Rs. 2400.
This question belongs to:
Maths
Time and Work
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