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# Otto takes 20 days to empty a 50 liter barrel of beer and

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CEO
Joined: 21 Jan 2007
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Location: New York City
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Otto takes 20 days to empty a 50 liter barrel of beer and [#permalink]

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19 Oct 2007, 13:34
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Otto takes 20 days to empty a 50 liter barrel of beer and together with Hanna he can empty it in 14 days, how many days will it take Hanna to finish a barrel by herself?

17
33
39
47
58

Director
Joined: 22 Aug 2007
Posts: 567
Followers: 1

Kudos [?]: 49 [1] , given: 0

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19 Oct 2007, 14:30
1
KUDOS
bmwhype2 wrote:
Otto takes 20 days to empty a 50 liter barrel of beer and together with Hanna he can empty it in 14 days, how many days will it take Hanna to finish a barrel by herself?

17
33
39
47
58

speed of Otto = 50/20
speed of Hanna= 50/x

50/20+50/x=50/14------------>x=47
VP
Joined: 09 Jul 2007
Posts: 1104
Location: London
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Kudos [?]: 101 [1] , given: 0

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19 Oct 2007, 14:30
1
KUDOS
bmwhype2 wrote:
Otto takes 20 days to empty a 50 liter barrel of beer and together with Hanna he can empty it in 14 days, how many days will it take Hanna to finish a barrel by herself?

17
33
39
47
58

rates:
Otto can drink 50/20 litres per day
Hannah can drink 50/x litres per day
together they can drink 50/14 per day

50/20+50/x=50/14

1/20+1/x=1/14

x+20=20x/14
14x+280=20x
6x=280
x=46.666..

x~47
CEO
Joined: 21 Jan 2007
Posts: 2756
Location: New York City
Followers: 10

Kudos [?]: 806 [0], given: 4

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29 Jan 2008, 11:08
1/20 + 1/H = 1/14

1/H = 1/20 - 1/14
1/H = 10/140 - 7/140
1/H = 3/140

time = 140/3
approx 47

OA is D
_________________

You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

Senior Manager
Joined: 26 Jan 2008
Posts: 267
Followers: 3

Kudos [?]: 99 [0], given: 11

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29 Jan 2008, 14:21
bmwhype2 wrote:
Otto takes 20 days to empty a 50 liter barrel of beer and together with Hanna he can empty it in 14 days, how many days will it take Hanna to finish a barrel by herself?

17
33
39
47
58

50/20 + 50/X = 50/14
1/X = 3/140
X ~ 47

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SVP
Joined: 28 Dec 2005
Posts: 1575
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Kudos [?]: 137 [0], given: 2

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29 Jan 2008, 20:34
ottos rate is 2.5 litres per day (50/20). let hannahs rate be x.

together, we can express as such: (2.5+x)*14 = 50 -->x=15/14 litres per day for hannah

this leads to approx 47 days to finish 50 litres
Re: Challenge - Beer   [#permalink] 29 Jan 2008, 20:34
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