A can complete a work in 31 days and B in 24 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 31 days and B in 24 days. If both work together, in how many days will the work be completed?
A. 16.03
B. 13.53
C. 21.03
D. 18.53
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/31 + 1/24. Time = 13.53 days.

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Practice More Time and Work Questions

Question #1
If 3 men or 5 women can do a piece of work in 12 days, in how many days will 6 men and 5 women complete the same work?
A. 6 days
B. 5 days
C. 4 days
D. 3 days

Correct Answer: Option C


Explanation:
3 Men = 5 Women => 6 Men = 10 Women. 6 men + 5 women = 10 women + 5 women = 15 women. Since 5 women take 12 days, 15 women will take (5 * 12) / 15 = 60 / 15 = 4 days.

This question belongs to: Maths Time and Work
Question #2
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. 12.8
B. 7.8
C. 15.3
D. 10.3

Correct Answer: Option B


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

This question belongs to: Maths Time and Work
Question #3
A is twice as efficient as B and can complete a piece of work in 15 days less than B. In how many days can B alone complete the work?
A. 45 days
B. 25 days
C. 30 days
D. 20 days

Correct Answer: Option C


Explanation:
Ratio of efficiency of A to B = 2 : 1. Ratio of time taken by A to B = 1 : 2. Difference in time = 2 - 1 = 1 part, which corresponds to 15 days. Therefore, time taken by B = 2 * 15 = 30 days.

This question belongs to: Maths Time and Work