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| | Question 9

Two pipes A and B independently can fill a tank in 20 hours and 25 hours. Both are opened together for 5 hours after which the second pipe is turned off. What is the time taken by first pipe alone to fill the remaining portion of the tank?

(A)



11 hours

(B)



13 hours

(C)

15 hours

(D)

17 hours


Answer: (A)
Explanation:

Total unit water = LCM(20, 25) = 100 unit 
A’s efficiency = 100/20 = 5 unit/hour 
B’s efficiency =100/25 = 4 unit/hour 
After 5 hour the water filled by A and B together = 5 x 9 =45 unit 
Remaining unit = 100 – 45 = 55 unit 
Time taken by A alone = 55/5 = 11 hours

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