Question

There are 6 filling pipes each can fill
a tank in 16 minutes and 4 empty
pipes each can empty same tank in 20
min. If all pipes are open together and
as a result tank is filled by 14 L/min.
Find capacity of tank.
A. 24 L
B. 40 L
C. 80 L
D. 84 L

Answer 1

Answer:

Data is not sufficient

You also have to give time taken to fill the tank or something similar to it

Answer 2

Answer:

The total capacity of tank is 80 liters .

Step-by-step explanation:

Given as :

Total number of filling pipes = 6

Each pipe can fill the tank in 16 minutes

Again

Total number of emptying pipe = 4

Each pipe can empty the tank in 20 min

The rate of filling tank = 14 L/min

Let The capacity of tank = v liters

Or Let The Time taken to fill the full tank  = x

According to question

Time taken to fill the full tank  = ( $\dfrac{1}{16}$ + $\dfrac{1}{16}$ + $\dfrac{1}{16}$ + $\dfrac{1}{16}$ + $\dfrac{1}{16}$ + $\dfrac{1}{16}$ ) - ( $\dfrac{1}{20}$ + $\dfrac{1}{20}$ + $\dfrac{1}{20}$ + $\dfrac{1}{20}$)

Or,  $\dfrac{1}{x}$ = $\dfrac{6}{16}$ - $\dfrac{4}{20}$

Or,  $\dfrac{1}{x}$ =  $\dfrac{30 - 16}{80}$

or, $\dfrac{1}{x}$  =  $\dfrac{14}{80}$

Or, x = $\dfrac{80}{14}$   min

So, Time taken to fill the full tank  = x = $\dfrac{80}{14}$   min

Now,

As The rate of filling tank = 14 L/min

So, The capacity of tank = rate × time

Or,  v = 14 L/min × $\dfrac{80}{14}$   min

Or, v = 80 liters

So, The capacity of tank = v = 80 liters

Hence, The total capacity of tank is 80 liters . Answer