A can complete a piece of work in 12 days, and B can complete the same work in 24 days. If they work together, how many days will it take them to complete the work? MCQ with Answer and Explanation

A can complete a piece of work in 12 days, and B can complete the same work in 24 days. If they work together, how many days will it take them to complete the work?
A. 14 days
B. 10 days
C. 8 days
D. 6 days
Answer: Option C
Solution (By JKSSB Mock Tests)
A's 1-day work = 1/12, B's 1-day work = 1/24. Combined 1-day work = 1/12 + 1/24 = 3/24 = 1/8. Therefore, they will complete the work together in 8 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 23 days and B can complete the same work in 33 days. If they work together, in how many days will the work be completed?
A. 17.55
B. 15.55
C. 13.55
D. 19.55

Correct Answer: Option C


Explanation:
Combined rate = 1/23 + 1/33. Time = 1 ÷ combined rate = 13.55 days.

This question belongs to: Maths Time and Work
Question #2
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
A. 40 days
B. 35 days
C. 50 days
D. 45 days

Correct Answer: Option A


Explanation:
Total work = 8 * (4M + 6W) = 10 * (3M + 7W) => 32M + 48W = 30M + 70W => 2M = 22W => 1M = 11W. Total work in terms of women = 8 * (4*11W + 6W) = 8 * 50W = 400 W-days. Time taken by 10 women = 400 / 10 = 40 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 33 days and B in 43 days. If both work together, in how many days will the work be completed?
A. 26.17
B. 21.17
C. 23.67
D. 18.67

Correct Answer: Option D


Explanation:
Combined rate = 1/33 + 1/43. Time = 18.67 days.

This question belongs to: Maths Time and Work