A can complete a work in 21 days and B in 31 days. If both work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 21 days and B in 31 days. If both work together, in how many days will the work be completed?
A. 20.02
B. 15.02
C. 12.52
D. 17.52
Answer: Option C
Solution (By JKSSB Mock Tests)
Combined rate = 1/21 + 1/31. Time = 12.52 days.

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Practice More Time and Work Questions

Question #1
11 men can complete a work in 18 days. If 16 men work at the same rate, the work will be completed in:
A. 17.38
B. 12.38
C. 27.38
D. 22.38

Correct Answer: Option B


Explanation:
Total work = 198 man-days. Time = 198/16 = 12.38 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 19 days and B in 41 days. If both work together, in how many days will the work be completed?
A. 15.48
B. 12.98
C. 17.98
D. 20.48

Correct Answer: Option B


Explanation:
Combined rate = 1/19 + 1/41. Time = 12.98 days.

This question belongs to: Maths Time and Work
Question #3
A can do a work in 14 days and B in 24 days. They work together for 5 days. What percentage of work remains?
A. 58.45
B. 53.45
C. 48.45
D. 43.45

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/14+1/24)) ×100 = 43.45%.

This question belongs to: Maths Time and Work