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A car drives along a straight road from Smithville to Laredo

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A car drives along a straight road from Smithville to Laredo

by swerve » Fri Dec 28, 2018 9:25 am

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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.

The OA is C

Source: Princeton Review
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Source: — Data Sufficiency |

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by Jay@ManhattanReview » Sat Dec 29, 2018 1:21 am

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swerve wrote: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.

The OA is C

Source: Princeton Review
Say the distance from Smithville to Laredo is x miles, the distance from Smithville to Ferristown is y miles, and the distance from Ferristown to Laredo is z miles.

Thus, x = y + z.

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.

=> y = 3z/5, but we cannot get the value of x. Insufficient.

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

=> z = 12 miles, but we cannot get the value of x. Insufficient.

(1) and (2) together

x = 3z/5 + z = 8z/5 = (8*12)/5 = 19.2 miles. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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