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How many miles long is the route from Houghton to Callahan?

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by BTGmoderatorDC » Sun Feb 24, 2019 9:50 pm

Timer

00:00

Answers

A

B

C

D

E

Stats

Difficulty—

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 D

Source: Official Guide
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by Jay@ManhattanReview » Sun Feb 24, 2019 11:39 pm
BTGmoderatorDC 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 D

Source: Official Guide
Say the distance from Houghton to Callahan is D miles.

Let's take each statement one by one.

(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.

=> D/50 - D/55 = 1

D = 5500 miles. Sufficient.

(2) It will take 11 hours to travel the first half of the route at an average rate of 25 miles per hour.

=> D/2 = 25*11 => D = 50*11 = 5500 miles. Sufficient.

The correct answer: D

Hope this helps!

-Jay
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