A can complete a work in 14 days and B can complete the same work in 24 days. If they work together, in how many days will the work be completed? MCQ with Answer and Explanation

A can complete a work in 14 days and B can complete the same work in 24 days. If they work together, in how many days will the work be completed?
A. 12.84
B. 10.84
C. 8.84
D. 14.84
Answer: Option C
Solution (By JKSSB Mock Tests)
Combined rate = 1/14 + 1/24. Time = 1 ÷ combined rate = 8.84 days.

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Practice More Time and Work Questions

Question #1
A can do a work in 9 days and B in 17 days. In how many days will they complete 75% of the work together?
A. 11.91
B. 6.91
C. 4.41
D. 9.41

Correct Answer: Option C


Explanation:
Combined time for full work multiplied by 0.75 = 4.41 days.

This question belongs to: Maths Time and Work
Question #2
If 10 men or 20 women can do a piece of work in 13 days, in how many days will 24 men and 17 women complete the same work?
A. 7 days
B. 5 days
C. 4 days
D. 6 days

Correct Answer: Option C


Explanation:
10 Men = 20 Women => 1 Man = 2 Women. 24 men + 17 women = 24 * 2 + 17 = 48 + 17 = 65 women. Since 20 women do the work in 13 days, 65 women will do it in (20 * 13) / 65 = 260 / 65 = 4 days.

This question belongs to: Maths Time and Work
Question #3
A can finish a work in 15 days and B in 20 days. They work together for 6 days and then B leaves. In how many days will A finish the remaining work?
A. 3.5 days
B. 4.5 days
C. 6 days
D. 5 days

Correct Answer: Option B


Explanation:
Total work = LCM(15, 20) = 60 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 6 days, work done = 6 * 7 = 42 units. Remaining work = 60 - 42 = 18 units. Time taken by A to complete remaining work = 18 / 4 = 4.5 days.

This question belongs to: Maths Time and Work