A can do a piece of work in 10 days, B in 12 days and C in 15 days. They carry out the work together and get a total of Rs. 4500 as wages. Find the share of C. MCQ with Answer and Explanation
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Question #1
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15 men can complete a work in 22 days. If 20 men work at the same rate, the work will be completed in:
Correct Answer: Option D
Explanation:
Total work = 330 man-days. Time = 330/20 = 16.5 days.
Total work = 330 man-days. Time = 330/20 = 16.5 days.
This question belongs to:
Maths
Time and Work
Question #2
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A can complete a work in 15 days and B can complete the same work in 30 days. If they work together, in how many days will the work be completed?
Correct Answer: Option C
Explanation:
Combined rate = 1/15 + 1/30. Time = 1 ÷ combined rate = 10.0 days.
Combined rate = 1/15 + 1/30. Time = 1 ÷ combined rate = 10.0 days.
This question belongs to:
Maths
Time and Work
Question #3
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If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:
Correct Answer: Option B
Explanation:
Total work = 10 * (6M + 8B) = 2 * (26M + 48B) => 60M + 80B = 52M + 96B => 8M = 16B => 1M = 2B. Total work in terms of boys = 10 * (6*2B + 8B) = 10 * 20B = 200 boy-days. Efficiency of 15 men and 20 boys = 15*2B + 20B = 50B. Time taken = 200 / 50 = 4 days.
Total work = 10 * (6M + 8B) = 2 * (26M + 48B) => 60M + 80B = 52M + 96B => 8M = 16B => 1M = 2B. Total work in terms of boys = 10 * (6*2B + 8B) = 10 * 20B = 200 boy-days. Efficiency of 15 men and 20 boys = 15*2B + 20B = 50B. Time taken = 200 / 50 = 4 days.
This question belongs to:
Maths
Time and Work
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