Question

A certain truck can fill up 2hours faster than another pipe it takes a and hours for both pipes to fill up the same tank in how many hours would the first pipe fill up the tank

Answer 1

Answer:

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