A can complete a work in 24 days and B in 23 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 24 days and B in 23 days. If both work together, in how many days will the work be completed?
A. 19.24
B. 16.74
C. 14.24
D. 11.74
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/24 + 1/23. Time = 11.74 days.

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Practice More Time and Work Questions

Question #1
A can do a work in 13 days and B in 29 days. In how many days will they complete 75% of the work together?
A. 11.73
B. 9.23
C. 14.23
D. 6.73

Correct Answer: Option D


Explanation:
Combined time for full work multiplied by 0.75 = 6.73 days.

This question belongs to: Maths Time and Work
Question #2
A is twice as good a workman as B and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
A. 27 days
B. 45 days
C. 54 days
D. 36 days

Correct Answer: Option A


Explanation:
Ratio of work done by A and B = 2:1. Let B's 1-day work be x, so A's 1-day work is 2x. Together, 3x = 1/18, which means x = 1/54. A's 1-day work = 2 * (1/54) = 1/27. Thus, A alone completes it in 27 days.

This question belongs to: Maths Time and Work
Question #3
A, B and C can do a work in 6, 8 and 12 hours respectively. If they work together, how many hours will they take to complete the work?
A. 3(1/3) hours
B. 3 hours
C. 2(2/3) hours
D. 2(1/2) hours

Correct Answer: Option C


Explanation:
Total work = LCM(6, 8, 12) = 24 units. Efficiency of A = 4, B = 3, C = 2. Combined efficiency = 4 + 3 + 2 = 9. Time taken together = 24 / 9 = 8 / 3 = 2(2/3) hours.

This question belongs to: Maths Time and Work