Question

A tank can be filled by a tap in 5 hours and emptied by an outlet pipe in 8 hours. How long will it take
to fill the tank if both the tap and pipe are opened together?​

Answer 1

According to question,

• A tank can be filled by a tap in 5 hrs.

Tank filled by a tap in 1 hr. = 1/5 ______ (eq 1)

• Tank is empited by an outlet pipe in 8 hrs.

Tank emptied by an outlet in 1 hr. = 1/8 _____(eq 2)

If both tank and outlet are opened together.

Then,

Tank filled by a tap in 1 hr. - Tank empited by an outlet in 1 hr.

=> 1/5 - 1/8

=> (8 - 5)/40

=> 3/40 hrs.

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It takes 3/40 hrs. to fill the tank.

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