A can complete a work in 14 days and B can complete the same work in 29 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 14 days and B can complete the same work in 29 days. If they work together, in how many days will the work be completed?
A. 13.44
B. 9.44
C. 15.44
D. 11.44
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/14 + 1/29. Time = 1 ÷ combined rate = 9.44 days.

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Practice More Time and Work Questions

Question #1
8 men can complete a work in 24 days. If 12 men work at the same rate, in how many days will the work be completed?
A. 18.0
B. 22.0
C. 16.0
D. 20.0

Correct Answer: Option C


Explanation:
Total work = 8 × 24 = 192 man-days. Required days = 192/12 = 16.0 days.

This question belongs to: Maths Time and Work
Question #2
A can do a work in 17 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 11.38
B. 13.88
C. 6.38
D. 8.88

Correct Answer: Option C


Explanation:
Combined time for full work multiplied by 0.75 = 6.38 days.

This question belongs to: Maths Time and Work
Question #3
X can do a piece of work in 40 days. He works at it for 8 days and then Y alone finishes the remaining work in 16 days. How long will X and Y together take to complete the work?
A. 15 days
B. 14 days
C. 16 days
D. 13(1/3) days

Correct Answer: Option D


Explanation:
Let total work be 40 units. Efficiency of X = 1 unit/day. In 8 days, X completes 8 units. Remaining work = 40 - 8 = 32 units. Y finishes 32 units in 16 days, so Y's efficiency = 32 / 16 = 2 units/day. Combined efficiency of X and Y = 1 + 2 = 3 units/day. Time taken together = 40 / 3 = 13(1/3) days.

This question belongs to: Maths Time and Work