25 men can complete a work in 23 days. If 33 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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4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
Correct Answer: Option C
Explanation:
Total work = 8 * (4M + 6W) = 10 * (3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work in terms of women = 8 * (4*11W + 6W) = 8 * 50W = 400 W-days. Time taken by 10 women = 400 / 10 = 40 days.
Total work = 8 * (4M + 6W) = 10 * (3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work in terms of women = 8 * (4*11W + 6W) = 8 * 50W = 400 W-days. Time taken by 10 women = 400 / 10 = 40 days.
This question belongs to:
Maths
Time and Work
Question #2
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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
Question #3
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A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days can A alone finish the remaining work?
Correct Answer: Option C
Explanation:
Total work = LCM(18, 15) = 90 units. Efficiency of A = 5, B = 6. B works for 10 days: work done = 10 * 6 = 60 units. Remaining work = 90 - 60 = 30 units. Time taken by A to finish the remaining work = 30 / 5 = 6 days.
Total work = LCM(18, 15) = 90 units. Efficiency of A = 5, B = 6. B works for 10 days: work done = 10 * 6 = 60 units. Remaining work = 90 - 60 = 30 units. Time taken by A to finish the remaining work = 30 / 5 = 6 days.
This question belongs to:
Maths
Time and Work
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