A work could be completed in 100 days by some workers. However, due to the absence of 10 workers, it was completed in 110 days. Find the original number of workers. MCQ with Answer and Explanation
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Question #1
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If 10 men can complete a project in 12 days, how many more men are required to finish it in 8 days?
Correct Answer: Option D
Explanation:
Using M1 * D1 = M2 * D2: 10 * 12 = M2 * 8 => 120 = 8 * M2 => M2 = 15 men. More men required = 15 - 10 = 5.
Using M1 * D1 = M2 * D2: 10 * 12 = M2 * 8 => 120 = 8 * M2 => M2 = 15 men. More men required = 15 - 10 = 5.
This question belongs to:
Maths
Time and Work
Question #2
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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 B
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 #3
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A can complete a work in 24 days and B can complete the same work in 19 days. If they work together, in how many days will the work be completed?
Correct Answer: Option A
Explanation:
Combined rate = 1/24 + 1/19. Time = 1 ÷ combined rate = 10.6 days.
Combined rate = 1/24 + 1/19. Time = 1 ÷ combined rate = 10.6 days.
This question belongs to:
Maths
Time and Work
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