A can complete a work in 20 days and B in 14 days. If they work together, the work will be completed in: MCQ with Answer and Explanation

A can complete a work in 20 days and B in 14 days. If they work together, the work will be completed in:
A. 13.24
B. 23.24
C. 18.24
D. 8.24
Answer: Option D
Solution (By JKSSB Mock Tests)
Combined rate = 1/20 + 1/14. Required time = 8.24 days.

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Practice More Time and Work Questions

Question #1
A can do a piece of work in 10 days, B in 12 days and C in 15 days. They carry out the work together and get a total of Rs. 6000 as wages. Find the share of A.
A. Rs. 2400
B. Rs. 2500
C. Rs. 1800
D. Rs. 2000

Correct Answer: Option A


Explanation:
Total work = LCM(10, 12, 15) = 60 units. Efficiency of A = 6, B = 5, C = 4. Ratio of wages is equal to ratio of efficiencies = 6 : 5 : 4. Total ratio parts = 6 + 5 + 4 = 15. Share of A = (6 / 15) * 6000 = 6 * 400 = Rs. 2400.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 22 days and B in 33 days. If both work together, in how many days will the work be completed?
A. 20.7
B. 18.2
C. 13.2
D. 15.7

Correct Answer: Option C


Explanation:
Combined rate = 1/22 + 1/33. Time = 13.2 days.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 9 days and B in 16 days. If they work together, the work will be completed in:
A. 5.76
B. 15.76
C. 10.76
D. 20.76

Correct Answer: Option A


Explanation:
Combined rate = 1/9 + 1/16. Required time = 5.76 days.

This question belongs to: Maths Time and Work