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Bunuel
12 Days of Christmas 🎅 GMAT Competition with Lots of Questions & Fun

George is at a location between his house and the concert hall. To reach the concert hall, he has two options, both taking the same amount of time: he can either walk directly there, or he can walk back to his house and then drive to the concert hall. If George drives 12 times as fast as he walks, what is the ratio of George's distance from his house to his distance from the concert hall?

A. 1:11
B. 11:12
C. 11:13
D. 13:11
E. 11:1


 


This question was provided by GMAT Club
for the 12 Days of Christmas Competition

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Let the distance from George's location to his home be 'd1'
Let the distance from George's location to the concert be 'd2'

Let his walking speed be 'm'
Let his driving speed be '12m'

The required ratio = d1/d2

As per the question

Time for George to walk to the concert = Time taken to walk back to his house and then drive to the concert hall

=> d2/m = d1/m + (d1 + d2)/12m
=> 12(d2 - d1) = d1 + d2
=> 12(d2) - d2 = d1 + 12(d1)
=> 11(d2) = 13(d1)
=> d1/d2 = 11/13

Option C
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