A can complete a work in 31 days and B in 24 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 and B work together. A alone can complete the work in 18 days and B alone in 22 days. What percentage of the total daily work is contributed by A?
Correct Answer: Option D
Explanation:
A share = (1/18) / (1/18+1/22) ×100 = 55.0%.
A share = (1/18) / (1/18+1/22) ×100 = 55.0%.
This question belongs to:
Maths
Time and Work
Question #2
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If 8 men or 12 women can do a piece of work in 25 days, in how many days can 6 men and 11 women do the same work?
Correct Answer: Option B
Explanation:
8 Men = 12 Women => 1 Man = 1.5 Women. 6 men + 11 women = 6 * 1.5 + 11 = 9 + 11 = 20 women. Since 12 women do the work in 25 days, 20 women will do it in (12 * 25) / 20 = 300 / 20 = 15 days.
8 Men = 12 Women => 1 Man = 1.5 Women. 6 men + 11 women = 6 * 1.5 + 11 = 9 + 11 = 20 women. Since 12 women do the work in 25 days, 20 women will do it in (12 * 25) / 20 = 300 / 20 = 15 days.
This question belongs to:
Maths
Time and Work
Question #3
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A can complete a work in 10 days and B can complete the same work in 25 days. If they work together, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Combined rate = 1/10 + 1/25. Time = 1 ÷ combined rate = 7.14 days.
Combined rate = 1/10 + 1/25. Time = 1 ÷ combined rate = 7.14 days.
This question belongs to:
Maths
Time and Work
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