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# A hose fills an empty tank with water at a rate of 15 liters/second. A

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Math Expert
Joined: 02 Sep 2009
Posts: 58432
A hose fills an empty tank with water at a rate of 15 liters/second. A  [#permalink]

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18 Jan 2019, 01:12
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:10) correct 31% (00:55) wrong based on 64 sessions

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A hose fills an empty tank with water at a rate of 15 liters/second. At the same time, water drains from the tank at a rate of 10 liters/second. If the tank has a capacity of 200 liters, in how many seconds will the tank be half full?

A 4
B 8
C 20
D 25
E 40

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A hose fills an empty tank with water at a rate of 15 liters/second. A  [#permalink]

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Updated on: 19 Jan 2019, 03:04
Bunuel wrote:
A hose fills an empty tank with water at a rate of 15 liters/second. At the same time, water drains from the tank at a rate of 10 liters/second. If the tank has a capacity of 200 liters, in how many seconds will the tank be half full?

A 4
B 8
C 20
D 25
E 40

relative rate for tank being filled and getting emptied = 15-10 = 5
so work 200; half tank 100
100/5 = time = 20 sec
IMO C

Originally posted by Archit3110 on 18 Jan 2019, 09:44.
Last edited by Archit3110 on 19 Jan 2019, 03:04, edited 1 time in total.
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Joined: 15 Feb 2018
Posts: 372
Re: A hose fills an empty tank with water at a rate of 15 liters/second. A  [#permalink]

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18 Jan 2019, 22:30

15L/1 second - 10L/1 second = 5L/1 second

200L tank HALF FULL
So, consider it a 100L Tank

100L/(5L/1 second)=(100L/1)/(5L/1 second)=100L·1second/1·5L
Cancel the Litres unit
100·1second/1·5=20 seconds

C
Re: A hose fills an empty tank with water at a rate of 15 liters/second. A   [#permalink] 18 Jan 2019, 22:30
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# A hose fills an empty tank with water at a rate of 15 liters/second. A

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