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

Question

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

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Official Answer

A

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(A) 4/5 
(B) 5/6
(C) 1
(D) 6/5
(E) 5/4

HowManyToGo · Answer

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.

baer · Answer

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

virupaksh2010 · Answer

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

AmritaSarkar89 · Answer

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.

arhumsid · Answer

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?

ivangerz · Answer

Hi, this was my solution and I was wondering why it is not correct:

Before hike : 10 cups
After hike : 1 cup
 - after hike, he had to drink 3 cups so we know that he had 4 cups at the 5 hour mark.
@5 hour mark : 4 cups

Therefore, for the first 5 hours, the total rate of water loss is  6/5  (10 - 4 cups per 5 miles)

Since we know that water is leaking at 1 cup per hour and he finished the hike in 2 hours, 
1cup/hr * 2hrs/6miles =  1/3  (1 cup per 3 miles) --> rate of water leak.

To solve the amount of water he drank per mile during the 5 hour span:

6/5 = 1/3 + x
x = 15/15 = 1

Please let me know why this is wrong. Thanks so much!

ziwith · Answer

Used 9 cups of water during 6 mile hike. 
Given: 3 cups were used during the last mile. 
So 6 cups of water were used during the first 5 miles

If 6miles take 2 hours to complete then 5miles takes 5/3 hours(1.6hrs) to complete. During 1.6 hours, 1 cup of water is lost. So the water drank by him is 5 cups during the first 5 miles.

Therefore number of cups he drank per mile during the first 5 miles is (5/5)=1

Correct me if I'm wrong.

bumpbot · Answer

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

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