A can complete a work in 29 days and B in 27 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 29 days and B in 27 days. If both work together, in how many days will the work be completed?
A. 21.48
B. 13.98
C. 16.48
D. 18.98
Answer: Option B
Solution (By JKSSB Mock Tests)
Combined rate = 1/29 + 1/27. Time = 13.98 days.

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Practice More Time and Work Questions

Question #1
A tank can be filled by pipe A in 6 hours and emptied by pipe B in 8 hours. If both pipes are opened together, how much time will it take to fill the empty tank?
A. 18 hours
B. 12 hours
C. 24 hours
D. 14 hours

Correct Answer: Option C


Explanation:
Total capacity = LCM(6, 8) = 24 units. Efficiency of A = +4, B = -3. Combined efficiency = 4 - 3 = 1 unit/hour. Time required = 24 / 1 = 24 hours.

This question belongs to: Maths Time and Work
Question #2
A can do a work in 18 days and B in 28 days. They work together for 5 days. What percentage of work remains?
A. 59.37
B. 69.37
C. 54.37
D. 64.37

Correct Answer: Option C


Explanation:
Remaining work = (1 - 5*(1/18+1/28)) ×100 = 54.37%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 11 days and B in 14 days. If they work together, the work will be completed in:
A. 11.16
B. 21.16
C. 16.16
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