Question

Tap A can fill the tan in 12 hr and tap can empty the tank in 36 hr. if tap A and B open to fill the tank with tap C empty to it. The tank will completely fill in 16 hr. In what time B can fill alone the entire tank?​

Answer 1

Answer:

gahari aisi akshansh discussed shahajahan jane ok

Answer 2

Given:

Tap A can fill the tank in 12 hr

Tap C can empty the tank in 36 hr

Tap A, B & C together fill the tank in 16 hr

To find:

In what time B can fill alone the entire tank?​

Solution:

In 1 hr, the part of tank filled by tap A = $\frac{1}{12}$

In 1 hr, the part of tank emptied by tap C = $\frac{1}{36}$

So, let the part of the tank filled by B alone in 1 hr = $\frac{1}{B}$

Now, if tap A, tap B and tap C are opened together, then according to the question, we can form an equation as,

$\frac{1}{A} +\frac{1}{B} -\frac{1}{C} = \frac{1}{16}$

substituting $\frac{1}{A} = \frac{1}{12}$ & $\frac{1}{C} = \frac{1}{36}$

⇒ $\frac{1}{12} +\frac{1}{B} -\frac{1}{36} = \frac{1}{16}$

⇒ $\frac{1}{B} = \frac{1}{16}\:-\:\frac{1}{12} \:+\: \frac{1}{36}$

⇒ $\frac{1}{B} = \frac{9\:-\: 12\: +\:4}{144}$

⇒ $\bold{\frac{1}{B} = \frac{1}{144}}$

Thus, B alone can fill the entire tank in 144 hrs.

-------------------------------------------------------------------------------------------------

Also View:

Two pipes a and b can fill an empty cistern in 18 and 27 hours respectively. Pipe c can drain the entire cistern in 45 hours when no other pipe is in operation. Initially, when the cistern was empty pipe a and pipe c were turned on. After a few hours pipe a was turned off and pipe b was turned on instantly. In all, it took 55 hours to fill the cistern. For how many hours was pipe b turned on?

https://brainly.in/question/8502414

Pipes a and b can fill a tank in 5 and 6 hours respectively. Pipe c can empty it in 12 hours. The tank is half fill. All 3 pipes are in operation simultaneously. After how much time will the tank be full ?

https://brainly.in/question/5807736

6 pipes are required to fill a tank in 1 hour 20 minutes how long will it take if only 5 types of the same type are used.

https://brainly.in/question/3150761