A is twice as efficient as B, and C is thrice as efficient as B. If they working together can finish a work in 5 days, in how many days can A alone finish it? MCQ with Answer and Explanation

A is twice as efficient as B, and C is thrice as efficient as B. If they working together can finish a work in 5 days, in how many days can A alone finish it?
A. 18 days
B. 12 days
C. 15 days
D. 10 days
Answer: Option C
Solution (By JKSSB Mock Tests)
Let efficiency of B = 1. Then efficiency of A = 2, and efficiency of C = 3. Combined efficiency = 1 + 2 + 3 = 6. Total work = 5 * 6 = 30 units. Time taken by A alone = 30 / 2 = 15 days.

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Practice More Time and Work Questions

Question #1
A can do a work in 13 days and B in 23 days. In how many days will they complete 75% of the work together?
A. 11.23
B. 6.23
C. 8.73
D. 13.73

Correct Answer: Option B


Explanation:
Combined time for full work multiplied by 0.75 = 6.23 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 17 days and B in 34 days. After working together for 5 days, what percentage of work remains?
A. 55.88
B. 60.88
C. 58.38
D. 63.38

Correct Answer: Option A


Explanation:
Remaining work = (1 - 5*(1/17+1/34))×100 = 55.88%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 23 days and B in 15 days. If they work together, the work will be completed in:
A. 24.08
B. 14.08
C. 19.08
D. 9.08

Correct Answer: Option D


Explanation:
Combined rate = 1/23 + 1/15. Required time = 9.08 days.

This question belongs to: Maths Time and Work