A and B work together. A alone can complete the work in 30 days and B alone in 26 days. What percentage of the total daily work is contributed by A? MCQ with Answer and Explanation

Question

A and B work together. A alone can complete the work in 30 days and B alone in 26 days. What percentage of the total daily work is contributed by A?

A. 51.43

B. 46.43

C. 48.93

D. 53.93

Answer: Option B

Solution (By JKSSB Mock Tests)

A share = (1/30) / (1/30+1/26) ×100 = 46.43%.

This question belongs to: Maths Time and Work

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A and B can do a work in 12 days, B and C in 15 days, and C and A in 20 days. How many days will A alone take to finish the work?

A. 40 days

B. 60 days

C. 20 days

D. 30 days

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Correct Answer: Option D

Explanation:
Total work = LCM(12, 15, 20) = 60 units. Efficiency of (A+B) = 5, (B+C) = 4, (C+A) = 3. Summing efficiencies gives 2*(A+B+C) = 12 => Efficiency of (A+B+C) = 6 units/day. Efficiency of A = (A+B+C) - (B+C) = 6 - 4 = 2 units/day. Time taken by A alone = 60 / 2 = 30 days.

This question belongs to: Maths Time and Work