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# 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 w

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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

#3
+94203
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I added this one to puzzles too.  I like these.       ♬    ♬    ♬

Melody  Jun 24, 2014
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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
+20745
+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 ?

$$=\dfrac{2.4\;l}{min}*8\;min={19.2\;l}$$

heureka  Jun 24, 2014
#3
+94203
+8

I added this one to puzzles too.  I like these.       ♬    ♬    ♬

Melody  Jun 24, 2014
#4
+831
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
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+94203
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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
+93038
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