A and B together can do a piece of work in 12 days. B and C together in 15 days. C and A together in 20 days. How long will A alone take to do the work? MCQ with Answer and Explanation

A and B together can do a piece of work in 12 days. B and C together in 15 days. C and A together in 20 days. How long will A alone take to do the work?
A. 20 days
B. 60 days
C. 30 days
D. 40 days
Answer: Option C
Solution (By JKExamLibrary)
2(A+B+C) = 1/12 + 1/15 + 1/20 = (5+4+3)/60 = 12/60 = 1/5 → A+B+C = 1/10. A's work = (A+B+C) - (B+C) = 1/10 - 1/15 = (3-2)/30 = 1/30. So A takes 30 days.

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Practice More Percentage Questions

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A machine depreciates 12% per year. Its value after 1 year if purchased for Rs. 60,000 is:
A. 52,000
B. 52,800
C. 53,000
D. 52,500

Correct Answer: Option B


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60,000 × 0.88 = 52,800.

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Question #2
A number increased by 30% then decreased by 30% results in net change of:
A. 9% decrease
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A trader bought articles for Rs. 1500. Five were damaged, rest sold at Rs. 3 more than CP each, total profit Rs. 75. Number of articles:
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Correct Answer: Option B


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