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# Harry started a 6-mile hike with a full 10-cup canteen of wa

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Senior Manager
Joined: 30 May 2005
Posts: 269
Harry started a 6-mile hike with a full 10-cup canteen of wa  [#permalink]

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15 Jun 2005, 07:23
3
7
00:00

Difficulty:

35% (medium)

Question Stats:

70% (02:01) correct 30% (02:20) wrong based on 220 sessions

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Harry started a 6-mile hike with a full 10-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 5 miles of the hike?

(A) 4/5
(B) 5/6
(C) 1
(D) 6/5
(E) 5/4
Senior Manager
Joined: 17 Apr 2005
Posts: 351
Location: India

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15 Jun 2005, 07:42
1
mandy wrote:
hello
Harry started a 6-mile hike with a full 10-cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen. If the canteen leaked at the rate of 1 cup per hour and Harry drank 3 cups of water during the last mile, how many cups did he drink per mile during the first 5 miles of the hike?
(A) 4/5
(B) 5/6
(C) 1
(D)6/5
(E) 5/4
thanks

A.

No of cups leaked during the trip = 2 cups.
No of cups Harry drank = 7 cups.
No of cups harry drank during the first 5 miles = 4.
drink / mile = 4/5

HMTG.
Manager
Joined: 11 Jun 2006
Posts: 244

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26 May 2007, 08:01
since the trip took 2 hours total, and it says that the canteen leaked at 1 cup per hour, you know that 2 cups leaked. You also know that he drank 3 cups at the last mile... so he had 4 cups during the first 5 miles... answer is A 4/5
Intern
Joined: 07 Jun 2010
Posts: 47
Location: United States

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19 Jun 2010, 23:48
10 cups at beginning.

1 cup remaining at end so total 9 cups of water lost

1 cup per hour leakage , so in 2 hrs 2 cups of water lost

9-2 = 7

last 1 mile he drank 3 cups , so for first 5 miles total water used = 7-3 = 4

so per mile 4/5
Manager
Joined: 22 Feb 2016
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Location: India
Concentration: Economics, Healthcare
GMAT 1: 690 Q42 V47
GMAT 2: 710 Q47 V39
GPA: 3.57
Re: Harry started a 6-mile hike with a full 10-cup canteen of wa  [#permalink]

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12 Dec 2016, 19:59
How many of us lost our cool looking at the questions.
Well I did, I had faced this during a test and blah I hate these long questions.

Anyways assuming this is a super simple question I will really focus on the understanding and breaking down the question in the hour of need.

Initial data
Total mile=6
Total time=2 hours
total reserve =10 cups
remaining reserver =10-1=9 cups

Due to leakage lost canteen cups =2
Drank in last stint=3
Total canteen lost+used=5
Remamining canteen =9-5=4
miles in question =5

Hence the ans=4/5

GMAT Please give me such questions in the main test.
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Location: India
Concentration: Marketing, Social Entrepreneurship
GMAT 1: 630 Q44 V32
GMAT 2: 680 Q47 V35
Harry started a 6-mile hike with a full 10-cup canteen of wa  [#permalink]

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14 Dec 2016, 06:49
I read all of the explanations above and i wasn't convinced on one thing. I had the below reasoning while solving this question and never reached the correct answer. Plz tell me whats wrong with this:

The question asked about the first 5 miles of the trip. So, IMO, the quantity of water that was lost due to because of the leak should also be calculated for the first 5 miles and not for the complete trip. Thus the water lost would be less than 2.

Here's what i calculated:
Total water initially = 10 cups
Total water used (including leak) in 6 miles = 9 cups
Total water used (including leak) in first 5 miles = 9-3 = 6 cups

Problem starts here (all say 2 cups leaked and subtract it from 6 to get 4, i differ)

Time taken to cover first 5 miles: $$\frac{5}{3}$$ hours (speed is 3 mph)
Water leaked in 5/3 hours: $$\frac{5}{3}$$ cups (leak speed is 1 cup per hr)
Total water he drank during the first 5 miles: $$6-\frac{5}{3}$$ cups
= $$\frac{13}{3}$$ cups
Water drank per mile during the first 5 miles: $$\frac{13}{15}$$

Why am i wrong?
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Re: Harry started a 6-mile hike with a full 10-cup canteen of wa  [#permalink]

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25 Mar 2019, 19:32
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Re: Harry started a 6-mile hike with a full 10-cup canteen of wa   [#permalink] 25 Mar 2019, 19:32
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