Question

A cistern can be filled by a tap in 4 hours and empited by an outlet pipe in 6 hours . how long will it take to fill the cistern if both the tap and the pipe are openend together ?​

Answer 1

Answer :

The cistern will be filled in 12 hours.

Step-by-step explanation :-

To Find,

• How long will it take to fill the cistern if both the tap and the pipe are openend together ?

Solution,

Given that,

• A cistern can be filled by a tap in 4 hours
• A empited by an outlet pipe in 6 hours

ACCORDING THE QUESTION,

Work done by the cistern in 1 hour = 1/4

Work done by the outlet pipe in 1 hour = 1/6

Therefore,

Net part of the tank filled in 1 hour = [ 1/4 - 1/6 ]

» 1/4 - 1/6

» { 3 - 2 } / 12

» 1 / 12

Therefore, the cistern will be filled in 12 hours.