19 men can complete a work in 26 days. If 24 men work at the same rate, the work will be completed in: MCQ with Answer and Explanation
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Question #1
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A can do a work in 15 days and B in 23 days. In how many days will they complete 75% of the work together?
Correct Answer: Option B
Explanation:
Combined time for full work multiplied by 0.75 = 6.81 days.
Combined time for full work multiplied by 0.75 = 6.81 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a piece of work in 14 days and B in 21 days. They begin together but A leaves 3 days before the completion of the work. Find the total number of days taken to complete the work.
Correct Answer: Option B
Explanation:
Total work = LCM(14, 21) = 42 units. Efficiency of A = 3, B = 2. Let total days be x. A works for (x - 3) days, B works for x days. 3(x - 3) + 2x = 42 => 3x - 9 + 2x = 42 => 5x = 51 => x = 51/5 = 10(1/5) days.
Total work = LCM(14, 21) = 42 units. Efficiency of A = 3, B = 2. Let total days be x. A works for (x - 3) days, B works for x days. 3(x - 3) + 2x = 42 => 3x - 9 + 2x = 42 => 5x = 51 => x = 51/5 = 10(1/5) 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 D
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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