An empty tank has a capacity of 55.2 litres.Water flows from a Tap A at 3.6 litres per mimute and 2.4 litres per minute from a Tap B.Tap A was turned on first.Tap B was turned on 2 minutes later.The taps were turned off at the same time when the tank was completely filled without overflowing.How much water flowed from Tap B?

Guest Jun 24, 2014

#1**+8 **

An empty tank has a capacity of 55.2 litres.Water flows from a Tap A at 3.6 litres per mimute and 2.4 litres per minute from a Tap B.Tap A was turned on first.Tap B was turned on 2 minutes later.The taps were turned off at the same time when the tank was completely filled without overflowing.How much water flowed from Tap B?

When B is turned on, A has put 3.6(2) = 7.2 litres of water into the tank. So there remain 55.2 - 7.2 = 48 litres to fill. So we have:

3.6T + 2.4T = 48 where T is the time it takes to fill the rest of the tank .......Simpifying, we have

6T = 48

T = 8 minutes

So, since B was on for 8 minutes, it put 2.4(8) -= 19.2 litres into the tank.

CPhill
Jun 24, 2014

#2**+8 **

An empty tank has a capacity of 55.2 litres.Water flows from a Tap A at 3.6 litres per mimute and 2.4 litres per minute from a Tap B.Tap A was turned on first.Tap B was turned on 2 minutes later.The taps were turned off at the same time when the tank was completely filled without overflowing.How much water flowed from Tap B ?

The tank after 2 min. has an empty capacity of$$55.2 - \dfrac{3.6\;l}{min}*2\;min=55.2\;l - 7.2\;l=48\;l$$

$$\left(

\dfrac{3.6\;l}{min}+\dfrac{2.4\;l}{min}

\right)

\times t_{min} = 48\;l \quad | \quad t_{min} = \mbox{time Tab B is running}$$

$$t_{min}=\dfrac{48\;l}{3.6\;l+2.4\;l}*min=\dfrac{48\;\not{l}}{6\;\not{l}}*min=8\;min$$

How much water flowed from Tap B ?

$$=\dfrac{2.4\;l}{min}*8\;min=\textcolor[rgb]{1,0,0}{19.2\;l}$$

heureka
Jun 24, 2014

#4**0 **

When B is turned on A has put 3.6(2) = 7.2 litres of water into the tank So there remain 55.2-7.2 = 48 liters to fill.So we have:

3.6T + 2.4T = 48where T is the time it takes to fill the rest of the tank...Simpifying we have

6T = 48

T = 8 minutes

So, since B was on for 8 minutes it put 2.4(8) = 19.2 liters into the tank.

KOOL-AID
Jun 24, 2014

#5**0 **

Copying other person's answer is called Plagiarism.

It is illegal because you are stealing someone elses work. It is cheating.

Do not do this KOOL-AID. It is definitely not COOL!

Melody
Jun 24, 2014

#6**0 **

Kool-Aid......if you're going to "steal" answers....at least make them * LOOK a LITTLE* different from the original !!! Why would you do this??? I may sometimes present another way to find an answer, but I usually don't mimic the same approach given by others. This is known as "beating a dead horse".......

CPhill
Jun 24, 2014