A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, how many days will A alone take to complete the total work? MCQ with Answer and Explanation

A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, how many days will A alone take to complete the total work?
A. 12 days
B. 15 days
C. 18 days
D. 16 days
Answer: Option A
Solution (By JKSSB Mock Tests)
Ratio of efficiency of A : B = 3 : 1. Combined efficiency = 3 + 1 = 4. Total work = 9 * 4 = 36 units. Time taken by A alone = 36 / 3 = 12 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 26 days and B in 20 days. If both work together, in how many days will the work be completed?
A. 18.8
B. 11.3
C. 13.8
D. 16.3

Correct Answer: Option B


Explanation:
Combined rate = 1/26 + 1/20. Time = 11.3 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 19 days and B in 19 days. If they work together, the work will be completed in:
A. 24.5
B. 14.5
C. 9.5
D. 19.5

Correct Answer: Option C


Explanation:
Combined rate = 1/19 + 1/19. Required time = 9.5 days.

This question belongs to: Maths Time and Work
Question #3
12 men can complete a piece of work in 36 days. In how many days will 18 men complete the same work?
A. 28 days
B. 18 days
C. 24 days
D. 30 days

Correct Answer: Option C


Explanation:
Using M1 * D1 = M2 * D2: 12 * 36 = 18 * D2 => D2 = (12 * 36) / 18 = 12 * 2 = 24 days.

This question belongs to: Maths Time and Work