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. 15 days
C. 12 days
D. 10 days
Answer: Option B
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 complete a work in 21 days and B can complete the same work in 31 days. If they work together, in how many days will the work be completed?
A. 14.52
B. 18.52
C. 16.52
D. 12.52

Correct Answer: Option D


Explanation:
Combined rate = 1/21 + 1/31. Time = 1 ÷ combined rate = 12.52 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 10 days and B can complete the same work in 25 days. If they work together, in how many days will the work be completed?
A. 13.14
B. 7.14
C. 9.14
D. 11.14

Correct Answer: Option B


Explanation:
Combined rate = 1/10 + 1/25. Time = 1 ÷ combined rate = 7.14 days.

This question belongs to: Maths Time and Work
Question #3
A can do a work in 11 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 10.01
B. 12.51
C. 5.01
D. 7.51

Correct Answer: Option C


Explanation:
Combined time for full work multiplied by 0.75 = 5.01 days.

This question belongs to: Maths Time and Work