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Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was

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Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was

by Vincen » Sat Jan 23, 2021 6:54 am

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Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was Robin’s average speed for the entire trip?

(1) While driving from Townville to Villageton, Robin’s average speed was 40 miles per hour. While driving from Villageton to Townville, Robin’s average speed was 60 miles per hour.

(2) The distance from Townville to Villageton is 120 miles.

Answer: A

Source: Magoosh
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Source: — Data Sufficiency |
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Re: Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What w

by swerve » Sat Jan 23, 2021 11:07 am

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Vincen wrote: ↑
Sat Jan 23, 2021 6:54 am
 Robin drove from Townville to Villageton. Upon arriving in Villageton, she immediately returned to Townville. What was Robin’s average speed for the entire trip?

(1) While driving from Townville to Villageton, Robin’s average speed was 40 miles per hour. While driving from Villageton to Townville, Robin’s average speed was 60 miles per hour.

(2) The distance from Townville to Villageton is 120 miles.

Answer: A

Source: Magoosh
Statement 1:
\(r=\)rate
\(d=\)distance
\(r \left(\dfrac{d}{40} + \dfrac{d}{60} \right) = 2d \Longrightarrow r = 48.\) Sufficient \(\Large{\color{green}\checkmark}\)

Statement 2:
Distance one way is \(120\), no times or rates are given. Not Sufficient \(\Large{\color{red}\chi}\)

Therefore, A
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