A can complete a work in 33 days and B in 21 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 33 days and B in 21 days. If both work together, in how many days will the work be completed?
A. 15.33
B. 12.83
C. 20.33
D. 17.83
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/33 + 1/21. Time = 12.83 days.

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Practice More Time and Work Questions

Question #1
A and B work together. A alone can complete the work in 24 days and B alone in 22 days. What percentage of the total daily work is contributed by A?
A. 52.83
B. 55.33
C. 47.83
D. 50.33

Correct Answer: Option C


Explanation:
A share = (1/24) / (1/24+1/22) ×100 = 47.83%.

This question belongs to: Maths Time and Work
Question #2
A and B can complete a piece of work in 20 days and 30 days respectively. They work together for some days and then A leaves. If B completes the remaining work in 10 days, for how many days did they work together?
A. 8 days
B. 10 days
C. 12 days
D. 6 days

Correct Answer: Option A


Explanation:
Total work = LCM(20, 30) = 60 units. Efficiency of A = 3, B = 2. B works alone for 10 days: work completed = 10 * 2 = 20 units. Remaining work = 60 - 20 = 40 units. This was done by A and B together. Combined efficiency = 3 + 2 = 5 units/day. Days worked together = 40 / 5 = 8 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 22 days and B in 12 days. If they work together, the work will be completed in:
A. 22.76
B. 12.76
C. 17.76
D. 7.76

Correct Answer: Option D


Explanation:
Combined rate = 1/22 + 1/12. Required time = 7.76 days.

This question belongs to: Maths Time and Work