A can complete a work in 11 days and B can complete the same work in 16 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 16 days. If they work together, in how many days will the work be completed?
A. 8.52
B. 6.52
C. 10.52
D. 12.52
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/11 + 1/16. Time = 1 ÷ combined rate = 6.52 days.

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Practice More Time and Work Questions

Question #1
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. 19.23
B. 16.73
C. 21.73
D. 24.23

Correct Answer: Option B


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

This question belongs to: Maths Time and Work
Question #2
A and B can do a piece of work in 30 days and 36 days respectively. They began the work together but A left after some days and B finished the remaining work in 25 days. After how many days did A leave?
A. 6 days
B. 5 days
C. 4 days
D. 8 days

Correct Answer: Option B


Explanation:
Total work = LCM(30, 36) = 180 units. Efficiency of A = 6, B = 5. B worked alone for 25 days: work done = 25 * 5 = 125 units. Remaining work = 180 - 125 = 55 units. This was completed by A and B together. Combined efficiency = 11. Days worked together = 55 / 11 = 5 days. Thus, A left after 5 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 8 days and B in 21 days. If they work together, the work will be completed in:
A. 20.79
B. 5.79
C. 10.79
D. 15.79

Correct Answer: Option B


Explanation:
Combined rate = 1/8 + 1/21. Required time = 5.79 days.

This question belongs to: Maths Time and Work