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[299678]

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Q. Under normal conditions, a pipe can fill a tank with water in 6 Hours. A leak develop in the tank when the tank is half filled. This leaks drains out 1/3 of the water the pipes fills. How long will it take for the pipe to fill after the leak develops?

correct answer is 4.5 hour

This is what I did

a leak develop when the tank is half filled, so work done is 1/2, so remaining work = 1/2

Due to the leak, we lost 1/3 of our 1/2 work so we lost 1/6 of work, so 1/6 work should be done,

so total work should be done = 1/2 +1/6 = 2/3

By using ration,
1 unit of work: 6 hour = 2/3 unit of work : x hour
x = 4 hour

Could you be able to correct me if I am wrong since the correct answer is 4.5 hour

 

[UCB05]

Q. Under normal conditions, a pipe can fill a tank with water in 6 Hours. A leak develop in the tank when the tank is half filled. This leaks drains out 1/3 of the water the pipes fills. How long will it take for the pipe to fill after the leak develops?

correct answer is 4.5 hour

This is what I did

a leak develop when the tank is half filled, so work done is 1/2, so remaining work = 1/2

Due to the leak, we lost 1/3 of our 1/2 work so we lost 1/6 of work, so 1/6 work should be done,

so total work should be done = 1/2 +1/6 = 2/3

By using ration,
1 unit of work: 6 hour = 2/3 unit of work : x hour
x = 4 hour

Could you be able to correct me if I am wrong since the correct answer is 4.5 hour

pipe fills at rate of 1 tank/6 hours or 1/6 tank per hour
after leak, new rate operation is at 2/3 of original efficiency (3/3 in - 1/3 out).
The new rate of filling is 2/3 of the original rate: (2/3)(1/6 tanks/hour) = 1tank/9 hours.

To fill half a tank you need 4.5 hours.

 

[PaulieGualtieri]

^ +1 👍

 

[299678]

+1 Thank you