Question

two taps A and B can fill a tank in 6 and 9 hours respectively another tab C can empty the tank in 12 hours how long will it take to fill the tank if all the three are opend simultaneously​

Answer 1

Answer:

ok

Step-by-step explanation:

ok

Answer 2

Answer:

Let x be the time of A tap

x+5 be the time of B tap

As per the statement the equation becomes,

x

1

+

x+5

1

=

6

1

Multiplying x(x+5) on both sides to eliminate the denominator.

6x+30+6x=x

2

+5x

x

2

−7x−30=0

On factoring, we get

(x−10)(x+3)=0

x=10 or −3

A tap to fill the tank separately is 10 hours.