A can complete a work in 22 days and B in 33 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 22 days and B in 33 days. If both work together, in how many days will the work be completed?
A. 13.2
B. 18.2
C. 15.7
D. 20.7
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/22 + 1/33. Time = 13.2 days.

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Practice More Time and Work Questions

Question #1
A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:
A. 5 days
B. 6 days
C. 10 days
D. 10.5 days

Correct Answer: Option C


Explanation:
Total work = LCM(24, 9, 12) = 72 units. Efficiency of A = 3, B = 8, C = 6. B and C work for 3 days: work done = 3 * (8 + 6) = 3 * 14 = 42 units. Remaining work = 72 - 42 = 30 units. Time taken by A to complete remaining work = 30 / 3 = 10 days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 30 days and B in 29 days. If both work together, in how many days will the work be completed?
A. 22.25
B. 19.75
C. 17.25
D. 14.75

Correct Answer: Option D


Explanation:
Combined rate = 1/30 + 1/29. Time = 14.75 days.

This question belongs to: Maths Time and Work
Question #3
A and B work together. A alone can complete the work in 30 days and B alone in 32 days. What percentage of the total daily work is contributed by A?
A. 59.11
B. 51.61
C. 54.11
D. 56.61

Correct Answer: Option B


Explanation:
A share = (1/30) / (1/30+1/32) ×100 = 51.61%.

This question belongs to: Maths Time and Work