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Water enters a vat, whose capacity is 60 liters
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27 Mar 2019, 06:25
27 Mar 2019, 06:25
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Question Stats:
78% (01:54) correct
21% (02:20) wrong based on 42 sessions
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Water enters a vat, whose capacity is 60 liters, through a faucet at the top and leaves the vat through a drain at the bottom. If the vat is empty, the drain is open, and water starts to flow through the faucet at a constant Rate of 5 liters per minute, it takes exactly 50 minutes until the vat is full. At what rate, in liters per minute, is water flowing through the drain?
_____liters per minute
_____liters per minute
Show: :: OA
3.8
Re: Water enters a vat, whose capacity is 60 liters
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15 May 2019, 02:52
15 May 2019, 02:52
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water is flowing in at the rate of 5 litres per minute. Now the duration it takes for the Vat to be full is 50 mins so 5*50 = 250 litres water flowed in. However water also gets out through the drain. We have to find the rate at which water drains out for 50 minutes resulting in the VAT to be full. The capacity of the Vat is 60 litres.
Hence,
5x - y = 60
or, 250 - 50y = 60
or, 190 = 50 y
or, 19 = 5y
therefore y =3.8 which is the rate of water going out of the container
Hence,
5x - y = 60
or, 250 - 50y = 60
or, 190 = 50 y
or, 19 = 5y
therefore y =3.8 which is the rate of water going out of the container
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GMAT 1: 770 Q51 V44
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Re: Water enters a vat, whose capacity is 60 liters
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19 May 2019, 11:44
19 May 2019, 11:44
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Quote:
Water enters a vat, whose capacity is 60 liters, through a faucet at the top and leaves the vat through a drain at the bottom. If the vat is empty, the drain is open, and water starts to flow through the faucet at a constant Rate of 5 liters per minute, it takes exactly 50 minutes until the vat is full. At what rate, in liters per minute, is water flowing through the drain?
For all rate problems remember the formula work = rate x time.
In this case, the capacity of the vat = 60L. Then, the vat fills at a rate of 5L/min, so were there no drain, the vat would fill in 60 ÷ 5 = 12 minutes.
However, there is a drain and we discover that the real amount of time to fill the vat is 50 minutes. So, therefore the real rate of filling is 60 ÷ 50 = 1.2 L/min.
Subtract the two found rates from each other to find the difference which will represent the rate of drain. 5 - 1.2 = 3.8 L/min pass through the drain.
