A can complete a work in 18 days and B in 16 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 18 days and B in 16 days. If they work together, the work will be completed in:
A. 8.47
B. 23.47
C. 13.47
D. 18.47
Answer: Option A
Solution (By JKSSB Mock Tests)
Combined rate = 1/18 + 1/16. Required time = 8.47 days.

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Practice More Time and Work Questions

Question #1
A can complete a work in 11 days and B in 14 days. If they work together, the work will be completed in:
A. 21.16
B. 16.16
C. 11.16
D. 6.16

Correct Answer: Option D


Explanation:
Combined rate = 1/11 + 1/14. Required time = 6.16 days.

This question belongs to: Maths Time and Work
Question #2
13 men can complete a work in 30 days. If 18 men work at the same rate, the work will be completed in:
A. 36.67
B. 21.67
C. 26.67
D. 31.67

Correct Answer: Option B


Explanation:
Total work = 390 man-days. Time = 390/18 = 21.67 days.

This question belongs to: Maths Time and Work
Question #3
A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B leaves. The days taken by A to finish the remaining work is:
A. 2 days
B. 1 day
C. 3 days
D. 4 days

Correct Answer: Option C


Explanation:
Total work = LCM(12, 15) = 60 units. Efficiency of A = 5, B = 4. In 5 days, work done = 5 * (5 + 4) = 45 units. Remaining work = 60 - 45 = 15 units. Time taken by A to finish remaining work = 15 / 5 = 3 days.

This question belongs to: Maths Time and Work