A can do a work in 4 days, B in 5 days and C in 10 days. Find the time taken by A, B and C together to do the work. MCQ with Answer and Explanation
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Question #1
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10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work be completed?
Correct Answer: Option D
Explanation:
1-day work of 10 men = 1/15. 1-day work of 15 women = 1/12. Combined 1-day work = 1/15 + 1/12 = (4 + 5) / 60 = 9 / 60 = 3 / 20. Total days required = 20 / 3 = 6(2/3) days.
1-day work of 10 men = 1/15. 1-day work of 15 women = 1/12. Combined 1-day work = 1/15 + 1/12 = (4 + 5) / 60 = 9 / 60 = 3 / 20. Total days required = 20 / 3 = 6(2/3) days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 17 days and B in 22 days. If both work together, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Combined rate = 1/17 + 1/22. Time = 9.59 days.
Combined rate = 1/17 + 1/22. Time = 9.59 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can do a work in 10 days and B in 20 days. They work together for 5 days. What percentage of work remains?
Correct Answer: Option B
Explanation:
Remaining work = (1 - 5*(1/10+1/20)) ×100 = 25.0%.
Remaining work = (1 - 5*(1/10+1/20)) ×100 = 25.0%.
This question belongs to:
Maths
Time and Work
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