Question

A tank has two inlets filling the tank in 12 hours and 16 hours respectively it has an outlet c wheels in empty the full tank in 8 hours if A and b and C are opened together how long will it take to fill the tank completely
Explain step by step
please pplease ​

Answer 1

Answer:

Lets calculate contribution of each inlet to fill the cistern,

we will use negative contribution for inlet emptying the cistern.

Let total volume of cylinder be 1 unit.

A's one minute contribution=

12

1

B's one minute contribution=

15

1

C's one minute contribution=−

10

1

(A+B+C)'s one minute contribution in filling the tank=

12

1

+

15

1

−

10

1

=

60

(5+4−6)

=

20

1

Time taken by A+B+C to fill 1 unit of volume=

1/20

1

min=20min