Math, asked by durgeanway, 9 months ago

Q.2 A fill pipe can fill a tank in 20 hours, a drain pipe can drain a tank in 30 hours. If a system of n pipes (fill pipes and drain pipes put together) can fill the tank in exactly 5 hours, which of the following are possible values of n (More than one option could be correct)?​

Answers

Answered by Joon111
2

..................................................................................

Answered by sonuvuce
0

The value of n is 2

Step-by-step explanation:

Pipe can fill a tank in 20 hours

Therefore, in one hour, the the part of the tank will be filled = 1/20

Similarly, in one hour the part of tank that can be emptied = 1/30

If there are x fill pipes and y drain pipes then

n = x+y

In one hour the portion filled

=\frac{x}{20}-\frac{y}{30}

=\frac{3x-2y}{60}

In 5 hours the tank is filled

Thus, in 5 hours, the portion filled = 1

5(\frac{3x-2y}{60})=1

\implies 3x-2y=12

\implies x=\frac{12+2y}{3}

\implies x=4+2\frac{y}{3}

x and y are both natural numbers here, for this y must be multiple of 3

If y = 3, x = 6

Thus, n = 9

If y = 6, x = 8

Thus, n = 14

If y = 9,  x = 10

Thus, n = 19

If y = 12, x = 12

Thus, n = 24

If, y = 15, x = 14

Thus, n = 29

If y = 18, x = 16

Thus, n = 34

If there were options, the value of n would be 2

Hope this answer is helpful.

Know More:

Q: Pipe no. 1 can fill the tank in 5 hours and pipe no. 2 in 10 hours. Pipe no. 3 can drain the water and make empty in 15/2 hours. if all the 3 pipes are open all together then the time required for filling the tank completely would be:

Click Here: https://brainly.in/question/3385311

Q: A tank is fitted with 22 pipes. some of these are fill pipes that fill the tank and others waste pipes that drain the tank. if each fill pipe can fill the tank in 24 hours and each drain pipe can drain the tank in 16 hours, and if all the pipes are kept open simultaneously when the tank is empty, the tank overflows in 12 hours. how many of these are waste pipes?

Click Here: https://brainly.in/question/3553737

Similar questions