Question

Two pipes together can fill a tank in 12 hours is first pipe can fill tank 10 hour faster than the second then how many hours will the second pipe take to fill tank

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given:

• Two pipes together can fill a tank in 12 hours.

To Find:

• In how many hours will the second pipe take to fill tank.

Solution:

Let's assume the first pipe take n hours to fill the tank.

Then the second pipe will take (n+10) hours.

according to the question  

                $\frac{1}{n} + \frac{1}{n+10} = \frac{1}{12}$

          ⇒  $12(n+10) + 12n=n^2 + 10n$

          ⇒  $24n+120=n^2+10n$

          ⇒  $n^2-14n-120=0$

          ⇒  $(n-20)(n+6)=0$

          ⇒  $n=20$

First pipe can fill the pipe in 20 hours.

Second pipe fill the pipe = n+10

                                         $=20+10$

                                           $=30 hours$

Thus, The second pipe fill the pipe in 30 hours.