A can complete a work in 11 days and B can complete the same work in 21 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 11 days and B can complete the same work in 21 days. If they work together, in how many days will the work be completed?
A. 13.22
B. 11.22
C. 9.22
D. 7.22
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/11 + 1/21. Time = 1 ÷ combined rate = 7.22 days.

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Practice More Time and Work Questions

Question #1
13 men can complete a work in 17 days. If 17 men work at the same rate, in how many days will the work be completed?
A. 15.0
B. 13.0
C. 19.0
D. 17.0

Correct Answer: Option B


Explanation:
Total work = 13 × 17 = 221 man-days. Required days = 221/17 = 13.0 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 15 days and B can complete the same work in 25 days. If they work together, in how many days will the work be completed?
A. 9.38
B. 15.38
C. 11.38
D. 13.38

Correct Answer: Option A


Explanation:
Combined rate = 1/15 + 1/25. Time = 1 ÷ combined rate = 9.38 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 20 days and B in 36 days. If both work together, in how many days will the work be completed?
A. 15.36
B. 17.86
C. 12.86
D. 20.36

Correct Answer: Option C


Explanation:
Combined rate = 1/20 + 1/36. Time = 12.86 days.

This question belongs to: Maths Time and Work