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? MCQ with Answer and Explanation

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. 14 hours
C. 24 hours
D. 12 hours
Answer: Option C
Solution (By JKSSB Mock Tests)
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.

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Practice More Time and Work Questions

Question #1
10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work be completed?
A. 6(1/3) days
B. 8 days
C. 6(2/3) days
D. 7 days

Correct Answer: Option C


Explanation:
1-day work of 10 men = 1/15. 1-day work of 15 women = 1/12. Combined 1-day work = 1/15 + 1/12 = (4 + 5) / 60 = 9 / 60 = 3 / 20. Total days required = 20 / 3 = 6(2/3) days.

This question belongs to: Maths Time and Work
Question #2
A can complete a work in 13 days and B in 26 days. After working together for 5 days, what percentage of work remains?
A. 44.81
B. 49.81
C. 47.31
D. 42.31

Correct Answer: Option D


Explanation:
Remaining work = (1 - 5*(1/13+1/26))×100 = 42.31%.

This question belongs to: Maths Time and Work
Question #3
A can complete a work in 32 days and B in 19 days. If both work together, in how many days will the work be completed?
A. 16.92
B. 19.42
C. 14.42
D. 11.92

Correct Answer: Option D


Explanation:
Combined rate = 1/32 + 1/19. Time = 11.92 days.

This question belongs to: Maths Time and Work