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Q.

Two pipes X and Y can fill a tank in 6 hours and 9 hours respectively. If they are turned on alternately for one hour each starting with X, then what is the time taken to fill the tank?

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a

9 hours

b

5.25 hours

c

7 hours

d

6.66 hours

answer is C.

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Detailed Solution

Total capacity=LCM of (6, 9)= 18 units

 Pipe X's efficiency =186=3

Pipe Y's efficiency  =189=2

In 2 hours tank filled= 3 + 2 = 5 units 

In 3 x 2 = 6 hours tank filled = 3 x 5 = 15 units 

In 7th hour pipe X fill the tank = 3 units 

In 7 hours tank filled = 15 + 3 = 18 units. 

Hence, 7 hours taken to filled the tank

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