A can complete a work in 22 days and B can complete the same work in 22 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 22 days and B can complete the same work in 22 days. If they work together, in how many days will the work be completed?
A. 17.0
B. 15.0
C. 13.0
D. 11.0
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/22 + 1/22. Time = 1 ÷ combined rate = 11.0 days.

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Practice More Time and Work Questions

Question #1
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. 12 days
B. 15 days
C. 5 days
D. 20 days

Correct Answer: Option D


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 #2
A can complete a piece of work in 18 days, B in 24 days and C in 36 days. If they work together, in how many days will they finish the work?
A. 7 days
B. 6 days
C. 9 days
D. 8 days

Correct Answer: Option D


Explanation:
Total work = LCM(18, 24, 36) = 72 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9 units/day. Time taken together = 72 / 9 = 8 days.

This question belongs to: Maths Time and Work
Question #3
11 men can complete a work in 15 days. If 15 men work at the same rate, in how many days will the work be completed?
A. 11.0
B. 13.0
C. 15.0
D. 17.0

Correct Answer: Option A


Explanation:
Total work = 11 × 15 = 165 man-days. Required days = 165/15 = 11.0 days.

This question belongs to: Maths Time and Work