A can complete a work in 17 days and B in 24 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 17 days and B in 24 days. If they work together, the work will be completed in:
A. 9.95
B. 14.95
C. 19.95
D. 24.95
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/17 + 1/24. Required time = 9.95 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 24 days and B in 26 days. If they work together, the work will be completed in:
A. 12.48
B. 22.48
C. 17.48
D. 27.48

Correct Answer: Option A


Explanation:
Combined rate = 1/24 + 1/26. Required time = 12.48 days.

This question belongs to: Maths Time and Work
Question #2
29 men can complete a work in 32 days. If 37 men work at the same rate, how many days are required?
A. 30.08
B. 32.58
C. 25.08
D. 27.58

Correct Answer: Option C


Explanation:
Total work = 928 man-days. Days = 25.08.

This question belongs to: Maths Time and Work
Question #3
A can do a piece of work in 15 days and B in 20 days. They began the work together but A left after 4 days. In how many days will B complete the remaining work?
A. 9(1/3) days
B. 8 days
C. 10(1/3) days
D. 10(2/3) days

Correct Answer: Option D


Explanation:
Total work = LCM(15, 20) = 60 units. Efficiency of A = 4, B = 3. Combined efficiency = 7. In 4 days, work completed = 4 * 7 = 28 units. Remaining work = 60 - 28 = 32 units. Time taken by B to complete remaining work = 32 / 3 = 10(2/3) days.

This question belongs to: Maths Time and Work