Question

A pump takes 3 hours to fill a truck. Due to a hole, how many hours can all the water of the truck flow from the hole for 3:30 hours to fill the truck in it?​

Answer 1

Step-by-step explanation:

Let Volume of Tank be V

pipe A can fill the tank

5

V

in 1 Hour

pipe B can fill the tank

8

V

in 1 Hour

Drainage Hole can empty the tank

20

V

in 1 Hour

⇒

5

V

+

8

V

−

20

V

=

T

V

where

T

V

is the Volume filled when 2 pipes and 1 hole is opened, in 1 Hour

⇒

5

1

+

8

1

−

20

1

=

T

1

solving we get T=

11

40

hrs