A can complete a work in 16 days and B in 29 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 16 days and B in 29 days. If they work together, the work will be completed in:
A. 20.31
B. 25.31
C. 15.31
D. 10.31
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/16 + 1/29. Required time = 10.31 days.

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Practice More Time and Work Questions

Question #1
A team of 30 men is supposed to do a work in 38 days. After 25 days, 5 more men were employed and the work was finished one day earlier than the scheduled time. How many days would it have been delayed if 5 more men were not employed?
A. 1 day
B. 3 days
C. 4 days
D. 2 days

Correct Answer: Option A


Explanation:
Scheduled time = 38 days. Work finished 1 day earlier, so it took 37 days. For the first 25 days, 30 men worked. For the remaining 37 - 25 = 12 days, 35 men worked. Remaining work = 35 * 12 = 420 man-days. If 5 extra men were not joined, 30 men would take 420 / 30 = 14 days to complete this remaining work. Total days taken without extra men = 25 + 14 = 39 days. Delay = 39 - 38 = 1 day.

This question belongs to: Maths Time and Work
Question #2
18 men can complete a work in 28 days. If 22 men work at the same rate, in how many days will the work be completed?
A. 22.91
B. 24.91
C. 28.91
D. 26.91

Correct Answer: Option A


Explanation:
Total work = 18 × 28 = 504 man-days. Required days = 504/22 = 22.91 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 27 days and B in 44 days. If both work together, in how many days will the work be completed?
A. 16.73
B. 21.73
C. 19.23
D. 24.23

Correct Answer: Option A


Explanation:
Combined rate = 1/27 + 1/44. Time = 16.73 days.

This question belongs to: Maths Time and Work