Houghton to Callahan?

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Houghton to Callahan?

by pappueshwar » Sat Mar 17, 2012 10:10 pm
How many miles long is the route from Houghton to Callahan?


(1) It will take 1 hour less time to travel the entire route at an average rate of 55 miles per hour than at an average rate of 50 miles per hour.
(2) It will take 11 hours to travel the first half of the route at an average rate of 25 miles per hour.

OA IS D PLS EXPLN STMNT 1
Source: — Data Sufficiency |

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by Anurag@Gurome » Sun Mar 18, 2012 4:42 am
pappueshwar wrote:How many miles long is the route from Houghton to Callahan?


(1) It will take 1 hour less time to travel the entire route at an average rate of 55 miles per hour than at an average rate of 50 miles per hour.
(2) It will take 11 hours to travel the first half of the route at an average rate of 25 miles per hour.

OA IS D PLS EXPLN STMNT 1
(1) If the time taken to travel the entire distance is t, then distance = (t - 1) * 55 = t * 50
Solving the above equation, we get, 55t - 55 = 50t
5t = 55
t = 11
So, distance = 11 * 50 = 550 miles; SUFFICIENT.

(2) If the total distance = d, then d/2 = 11 * 25
d = 2 * 11 * 25 = 550 miles; SUFFICIENT.

The correct answer is D.
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