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Alba to Benton

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by arbiter » Sun Sep 27, 2009 11:18 pm
On his trip from Alba to Benton, Julia drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 miles per hour. How long did it take Julio to drive the first x miles ?
1> On his trip, Julio drove for a total of 10 hrs and drove a total of 530 miles
2> On his trip,it took Julio 4 more hours to drive the first x miles than to drive the remaining distance.

OA is A
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Source: — Data Sufficiency |
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Re: Alba to Benton

by JeffB » Mon Sep 28, 2009 2:36 pm
arbiter wrote:On his trip from Alba to Benton, Julia drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 miles per hour. How long did it take Julio to drive the first x miles ?
1> On his trip, Julio drove for a total of 10 hrs and drove a total of 530 miles
2> On his trip,it took Julio 4 more hours to drive the first x miles than to drive the remaining distance.

OA is A
Statement I:

Just a weighted averages/mixture type of problem.

rt = distance
r * 10 = 530
Average rate = 53

50 (x) + 60 (y) = 53(x+y)
Solve for y = 3/7x

50 (x) + 60 (3/7x) = 530
x = 7 hours
suff.

Statement II

rt = d

50 * t + 4

60 * t

Need the Distance - InSuff.
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