A can complete a work in 26 days and B in 20 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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If 10 men or 20 women can do a piece of work in 13 days, in how many days will 24 men and 17 women complete the same work?
Correct Answer: Option D
Explanation:
10 Men = 20 Women => 1 Man = 2 Women. 24 men + 17 women = 24 * 2 + 17 = 48 + 17 = 65 women. Since 20 women do the work in 13 days, 65 women will do it in (20 * 13) / 65 = 260 / 65 = 4 days.
10 Men = 20 Women => 1 Man = 2 Women. 24 men + 17 women = 24 * 2 + 17 = 48 + 17 = 65 women. Since 20 women do the work in 13 days, 65 women will do it in (20 * 13) / 65 = 260 / 65 = 4 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 12 days and B in 24 days. After working together for 5 days, what percentage of work remains?
Correct Answer: Option C
Explanation:
Remaining work = (1 - 5*(1/12+1/24))×100 = 37.5%.
Remaining work = (1 - 5*(1/12+1/24))×100 = 37.5%.
This question belongs to:
Maths
Time and Work
Question #3
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A and B can do a job in 12 days and 16 days respectively. Both work together for 3 days and then A leaves. How long will B take to complete the remaining work?
Correct Answer: Option C
Explanation:
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 7 * 3 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B for remaining work = 27 / 3 = 9 days.
Total work = LCM(12, 16) = 48 units. Efficiency of A = 4, B = 3. Combined efficiency = 7 units/day. In 3 days, work completed = 7 * 3 = 21 units. Remaining work = 48 - 21 = 27 units. Time taken by B for remaining work = 27 / 3 = 9 days.
This question belongs to:
Maths
Time and Work
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