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A car drives along a staright road from Smithville to Laredo

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A car drives along a staright road from Smithville to Laredo

by AAPL » Sat Sep 07, 2019 1:55 am

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Princeton Review

A car drives along a straight road from Smithville to Laredo, going through Ferristown along the way. What is the total distance by car from Smithville to Laredo?

1) The distance from Smithville to Ferristown is 3/5 of the distance from Smithville to Laredo.
2) The distance from Ferristown to Laredo is 12 miles.

OA C
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Thu Sep 12, 2019 10:26 pm

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AAPL wrote:Princeton Review

A car drives along a straight road from Smithville to Laredo, going through Ferristown along the way. What is the total distance by car from Smithville to Laredo?

1) The distance from Smithville to Ferristown is 3/5 of the distance from Smithville to Laredo.
2) The distance from Ferristown to Laredo is 12 miles.

OA C
Say the distance between Smithville and Laredo is x miles, Smithville and Ferristown is y miles. thus, the distance between Ferristown and Laredo is (x - y) miles.

We have to get the value of x.

Let's take each statement one by one.

1) The distance from Smithville to Ferristown is 3/5 of the distance from Smithville to Laredo.

Can't find a unique value of x. Insufficient.

2) The distance from Ferristown to Laredo is 12 miles.

Can't find the value of x. Insufficient

(1) and (2) together

From, Statement 2, we have x - y = 12 and from Statement 1, we have y = 3/5 of x = 3x/5

Plugging-in the value of y in x - y = 12, we get x - 3x/5 = 12 => x = 60 miles. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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