SOLUTION: There are two taps X and Y. Tap X when opened alone takes 6minutes to fill a tank while tap Y takes 8 minutes to empty the tank. a) How much water will be in the tank after one mi

Question 675704: There are two taps X and Y. Tap X when opened alone takes 6minutes to fill a tank while tap Y takes 8 minutes to empty the tank.
a) How much water will be in the tank after one minute when both taps are opened at the same time?
b)How long will it take to fill the tank if both taps are opened at the same time?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of water in the tank after 1 minute with both taps open
Tap X fills at the rate of 1/6 tank per min
Tap Y empties at the rate of 1/8 tank per min
When both taps are open at the same time, they fill at the rate of 1/6-1/8= 4/24-3/24 tank per min=1/24 tank per min.
(1/24 tank/min)*1 min=x
x=1/24 tank---------amount of water in tank after 1 min
hope this helps---ptaylor
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