A can complete a work in 14 days and B in 23 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 14 days and B in 23 days. If they work together, the work will be completed in:
A. 8.7
B. 18.7
C. 23.7
D. 13.7
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/14 + 1/23. Required time = 8.7 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. 19.55
C. 13.55
D. 15.55

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
If 6 men and 8 boys can do a piece of work in 10 days, then 3 men and 4 boys will do the same work in:
A. 15 days
B. 20 days
C. 5 days
D. 12 days

Correct Answer: Option B


Explanation:
The number of workers (3 men and 4 boys) is exactly half of the original group (6 men and 8 boys). Since efficiency becomes half, the time taken will double. Total time = 10 * 2 = 20 days.

This question belongs to: Maths Time and Work
Question #3
15 men can complete a work in 13 days. If 19 men work at the same rate, in how many days will the work be completed?
A. 12.26
B. 14.26
C. 10.26
D. 16.26

Correct Answer: Option C


Explanation:
Total work = 15 × 13 = 195 man-days. Required days = 195/19 = 10.26 days.

This question belongs to: Maths Time and Work