SOLUTION: A sink is filling at the rate of 1 liter in 5 seconds. It is draining at the rate of 1 liter in 11 seconds. How long for the time it is empty will it take the sink to fill, if its
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Question 98431: A sink is filling at the rate of 1 liter in 5 seconds. It is draining at the rate of 1 liter in 11 seconds. How long for the time it is empty will it take the sink to fill, if its capacity is 8 liters? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! A sink is filling at the rate of 1 liter in 5 seconds. It is draining at the rate of 1 liter in 11 seconds. How long for the time it is empty will it take the sink to fill, if its capacity is 8 liters?
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Let's look the two devices individually
The faucet alone fills the sink: 8 * 5 = 40 sec
The drain alone empties a full sink: 8 * 11 = 88 sec
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Let t = time to fill the sink when both devices are on
Let the full sink = 1
Filling is +
Draining is -
: - = 1
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Multiply equation by 880
880* - 880* = 880(1)
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CAncel out the denominators and you have:
22t - 10t = 880
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12t = 880
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t = 880/12
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t = 73.33 seconds
:
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Check using t = 73.33 : - = 1
1.83 - .83 = 1
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How about this? Was it understandable?
