A can complete a work in 23 days and B in 15 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 23 days and B in 15 days. If they work together, the work will be completed in:
A. 14.08
B. 9.08
C. 19.08
D. 24.08
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/23 + 1/15. Required time = 9.08 days.

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Practice More Time and Work Questions

Question #1
A can do a work in 19 days and B in 23 days. In how many days will they complete 75% of the work together?
A. 10.3
B. 15.3
C. 7.8
D. 12.8

Correct Answer: Option C


Explanation:
Combined time for full work multiplied by 0.75 = 7.8 days.

This question belongs to: Maths Time and Work
Question #2
A can do a work in 11 days and B in 29 days. In how many days will they complete 75% of the work together?
A. 8.48
B. 13.48
C. 10.98
D. 5.98

Correct Answer: Option D


Explanation:
Combined time for full work multiplied by 0.75 = 5.98 days.

This question belongs to: Maths Time and Work
Question #3
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. 10.5 days
C. 10 days
D. 6 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