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# The flow of water through a drainage pipe was monitored for a 3-hour

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Math Expert
Joined: 02 Sep 2009
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The flow of water through a drainage pipe was monitored for a 3-hour  [#permalink]

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16 Nov 2015, 21:51
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72% (02:05) correct 28% (02:17) wrong based on 224 sessions

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The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?

A. 41.25
B. 42.5
C. 43.75
D. 45.0
E. 57.5

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Re: The flow of water through a drainage pipe was monitored for a 3-hour  [#permalink]

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16 Nov 2015, 23:22
Rate of flow of water in second hour = 15 gallons per hour
Rate of flow of water in first hour = 15/(3/2) = 10 gallons per hour
Rate of flow of water in third hour = (125/100)* 15 = (5/4) * 15 = 18.75 gallons per hour

Number of gallons of water that flowed through the pipe during the entire 3 hours = 10+15+18.75 = 43.75 gallons
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Re: The flow of water through a drainage pipe was monitored for a 3-hour  [#permalink]

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16 Nov 2015, 23:56
Forget conventional ways of solving math questions. In PS, IVY approach is the easiest and quickest way to find the answer.

The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?

A. 41.25
B. 42.5
C. 43.75
D. 45.0
E. 57.5

Let x be the rate of flow for the first hour. Since in second hour the rate is 1/2 faster than in the first hour it would be (3/2)*x(=x+ (1/2)*x).
So (3/2)*x=15 ---> x=10 gallons per hour.
Similarly in the third hour it would be (15+(1/4)*15)=18.75 gallons per hour.
The total gallons of water flowed through the pipe during the entire three hours, therefore, is 43.75(=10 + 15+18.75) gallons.

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Re: The flow of water through a drainage pipe was monitored for a 3-hour  [#permalink]

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17 Nov 2015, 09:40
Bunuel wrote:
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?

A. 41.25
B. 42.5
C. 43.75
D. 45.0
E. 57.5

Flow of water across the drainage pipe is as follows -

Hour I = 10 gallons/hr
Hour II = 15 gallons/hr
Hour III = 15*125% => 18.75 gallons/hr

So, The total amount of water which flowed during these 3 hours is 43.75 gallons(10+15+18.75)

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Re: The flow of water through a drainage pipe was monitored for a 3-hour  [#permalink]

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04 Jul 2016, 02:41
Flow of water through the drainage in 1st hour = 10 gallons/hr
Flow of water through the drainage in 2nd hour = 15 gallons/hr
Flow of water through the drainage in 3rd hour = 18.75 gallons/hr
Total gallons of water that flows through the drainage in 3 hours = 10 + 15 + 18.75 = 43.75 gallons/hr
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Re: The flow of water through a drainage pipe was monitored for a 3-hour  [#permalink]

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09 Aug 2019, 04:28
It should be C. 10+15+75/4

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Re: The flow of water through a drainage pipe was monitored for a 3-hour  [#permalink]

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12 Aug 2019, 17:48
Bunuel wrote:
The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?

A. 41.25
B. 42.5
C. 43.75
D. 45.0
E. 57.5

Let F = the flow rate for the first hour, in gallons per hour. We can create the equation:

1.5F = 15

F = 10

The flow rate for the first hour was 10, for the second hour it was 15, and for the 3rd hour it was 15 x 1.25 = 18.75

So the total amount of water that flowed through the pipe was 10 + 15 + 18.75 = 43.75 gallons.

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Re: The flow of water through a drainage pipe was monitored for a 3-hour  [#permalink]

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12 Aug 2019, 18:23
[quote="Bunuel"]The flow of water through a drainage pipe was monitored for a 3-hour period. In the second hour, the rate of flow was 15 gallons per hour, which was 50 percent faster than the rate of flow for the first hour. If 25 percent more water flowed through the pipe in the third hour than it did in the second, how many gallons of water flowed through the pipe during the entire three hours?

A. 41.25
B. 42.5
C. 43.75
D. 45.0
E. 57.5[/quote]

Water flow in first hour = 15/1.5 = 10 gallons
Water flow in second hour = 15 gallons
Water flow in third hour = 15* 1.25 = 18.75

Total water flow in 3 hours = 10+15+18.75= 43.75

IMO C

[size=80][b][i]Posted from my mobile device[/i][/b][/size]
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Re: The flow of water through a drainage pipe was monitored for a 3-hour   [#permalink] 12 Aug 2019, 18:23