SOLUTION: Hi tap X can fill a tank in 10 min. Tank Y can empty it in 6 min. Both taps are turned on at the same time and the tank is 3/4 full. How long will it take to reach the stage whe

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Hi tap X can fill a tank in 10 min. Tank Y can empty it in 6 min. Both taps are turned on at the same time and the tank is 3/4 full. How long will it take to reach the stage whe      Log On

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Question 1124472: Hi
tap X can fill a tank in 10 min. Tank Y can empty it in 6 min. Both taps are turned on at the same time
and the tank is 3/4 full. How long will it take to reach the stage when the tank is empty and the water flowing in from X is immediately emptied through Y.
thanks
Answer by Alex.33(110) About Me  (Show Source):
You can put this solution on YOUR website!
Let me suppose the tank's volume is V litres. Then
speed of x: +V/10 litre/min
speed of y: -V/6 litre/min
/*The positive/negative sign shows the increase/decrease of water volume.*/
Initially the water is 3V/4. Let's begin.
3V/4+V*t/10-V*t/6=0
t=45/4=11.25 minutes.
And we're done. Figure out what we want. Extract useful material from the question. Design the approach. Do.