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Harry started a 6-mile hike with a full 10-cup canteen of water and sinished the hike in 2 hours with 1 cup of water

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by AAPL » Wed Aug 11, 2021 7:38 am

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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

OA A
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Source: — Problem Solving |

AAPL wrote:
Wed Aug 11, 2021 7:38 am
GMAT Prep

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

OA A
\(10\) cups at the beginning.
\(1\) cup remaining at the end, so total \(9\) cups of water lost.
\(1\) cup per hour leakage, so in \(2\) hours \(2\) cups of water lost.

Thus, \(9-2 = 7\)

Last mile he drank \(3\) cups, so for first \(5\) miles total water used \(= 7-3 = 4\)

Therefore, per mile \(\dfrac{4}{5}\) A
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