A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work? MCQ with Answer and Explanation

A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
A. 45 days
B. 27 days
C. 36 days
D. 54 days
Answer: Option B
Solution (By JKSSB Mock Tests)
Ratio of work done by A and B = 2:1. Let B's 1-day work be x, so A's 1-day work is 2x. Together, 3x = 1/18, which means x = 1/54. A's 1-day work = 2 * (1/54) = 1/27. Thus, A alone completes it in 27 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 16 days and B can complete the same work in 21 days. If they work together, in how many days will the work be completed?
A. 11.08
B. 15.08
C. 13.08
D. 9.08

Correct Answer: Option D


Explanation:
Combined rate = 1/16 + 1/21. Time = 1 ÷ combined rate = 9.08 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 14 days and B in 30 days. If both work together, in how many days will the work be completed?
A. 17.05
B. 14.55
C. 9.55
D. 12.05

Correct Answer: Option C


Explanation:
Combined rate = 1/14 + 1/30. Time = 9.55 days.

This question belongs to: Maths Time and Work
Question #3
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. 9.14
B. 7.14
C. 13.14
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