Question

Two pipes A and B can fill a petrol tanker in 15 and 12 hours respectively. A third
pipe C can empty the whole tanker in 6 hours. If the tanker is full and all the three
pipes are opened together, how long would they take to empty it?​

Answer 1

Given : pipes A and b can fill a petrol tanker in 15 and 12 hours respectively

pipe C can empty the whole tanker in 6 hours

Tank is full

All pipes are opened together

To Find :  how long would they take to empty it​

Solution:

pipes A   can fill a petrol tanker in 15  hrs

=> pipe A fill in 1 hr = 1/15

pipe  A   can fill a petrol tanker in 12  hrs

=> pipe A fill in 1 hr = 1/12

pipe  C   can empty a petrol tanker in 6  hrs

=> pipe C can empty in 1 hr = 1/6

Opened all together empty in 1 hr

= 1/6 - 1/15 - 1/12

= (10 - 4 - 5)/60

= 1/60

Hence 60 hrs will be taken to empty the tank

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