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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...

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by BTGmoderatorLU » Thu Aug 27, 2020 2:44 pm

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Source: GMAT Paper Tests

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

The OA is A
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Re: 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

by dg1900 » Fri Aug 28, 2020 2:35 am
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?

We need to know how much he drank per mile in the first 5 miles. That is in 10/6 hours or 100 mins.

He started with 10 cups. Ended with 1 cup. Therefore total loss of water is 9 cups which has happened through various reasons.
If the canteen leaked at the rate of 1 cup/hour 2 cups of water would have leaked in 2 hours.
We now have 7 cups of water to account for.
If 3 cups of water were drank in the last mile 4 cups of water drank in the first 5 miles.

Therefore, she drank 4/5 cups per mile in the first 5 miles.
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Re: 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

by Scott@TargetTestPrep » Mon Aug 31, 2020 10:37 am
BTGmoderatorLU wrote: ↑
Thu Aug 27, 2020 2:44 pm
 Source: GMAT Paper Tests

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

The OA is A
Solution:

Since Harry had 1 cup of water remaining for the 2-hour hike and the canteen leaked at the rate of 1 cup per hour, he actually drank 7 cups of water during the 6-mile hike. Since he drank 3 cups during the last mile, he drank 4 cups during the first 5 miles, and thus he drank 4/5 cup of water per mile during the first 5 miles.

Answer: A

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