15 men can complete a work in 25 days. If 19 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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A can do a work in 13 days and B in 29 days. In how many days will they complete 75% of the work together?
Correct Answer: Option C
Explanation:
Combined time for full work multiplied by 0.75 = 6.73 days.
Combined time for full work multiplied by 0.75 = 6.73 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 25 days and B in 50 days. After working together for 5 days, what percentage of work remains?
Correct Answer: Option B
Explanation:
Remaining work = (1 - 5*(1/25+1/50))×100 = 70.0%.
Remaining work = (1 - 5*(1/25+1/50))×100 = 70.0%.
This question belongs to:
Maths
Time and Work
Question #3
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A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:
Correct Answer: Option D
Explanation:
Total work = LCM(10, 50) = 50 units. Efficiency of (A + B) = 5, efficiency of C = 1. Total efficiency of (A + B + C) = 5 + 1 = 6. Given A = B + C. So, (B + C) + B + C = 6 => 2(B + C) = 6 => B + C = 3. Since C = 1, B = 2. Time taken by B alone = 50 / 2 = 25 days.
Total work = LCM(10, 50) = 50 units. Efficiency of (A + B) = 5, efficiency of C = 1. Total efficiency of (A + B + C) = 5 + 1 = 6. Given A = B + C. So, (B + C) + B + C = 6 => 2(B + C) = 6 => B + C = 3. Since C = 1, B = 2. Time taken by B alone = 50 / 2 = 25 days.
This question belongs to:
Maths
Time and Work
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