9 men can complete a work in 19 days. If 13 men work at the same rate, in how many days will the work be completed? 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 A
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.
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Maths
Time and Work
Question #2
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A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
Correct Answer: Option B
Explanation:
Ratio of work done by A and B = 2:1. Let B's 1-day work be x, so A's 1-day work is 2x. Together, 3x = 1/18, which means x = 1/54. A's 1-day work = 2 * (1/54) = 1/27. Thus, A alone completes it in 27 days.
Ratio of work done by A and B = 2:1. Let B's 1-day work be x, so A's 1-day work is 2x. Together, 3x = 1/18, which means x = 1/54. A's 1-day work = 2 * (1/54) = 1/27. Thus, A alone completes it in 27 days.
This question belongs to:
Maths
Time and Work
Question #3
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16 men can complete a work in 20 days. If 20 men work at the same rate, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.
Total work = 16 × 20 = 320 man-days. Required days = 320/20 = 16.0 days.
This question belongs to:
Maths
Time and Work
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