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On a particular trip, Jane drove x miles at 30 miles per

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by BTGmoderatorDC » Tue Jun 04, 2019 5:30 pm

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Answers

A

B

C

D

E

Stats

Difficulty—

On a particular trip, Jane drove x miles at 30 miles per hour and y miles at 40 miles per hour. Was her average speed for the trip greater than 35 miles per hour?

(1) y > x + 60
(2) y/x > 4/3

OA B

Source: Veritas Prep
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by Jay@ManhattanReview » Wed Jun 05, 2019 10:28 pm
BTGmoderatorDC wrote:On a particular trip, Jane drove x miles at 30 miles per hour and y miles at 40 miles per hour. Was her average speed for the trip greater than 35 miles per hour?

(1) y > x + 60
(2) y/x > 4/3

OA B

Source: Veritas Prep
Average speed = Total Distance / Total Time

Total Distance = (x + y) miles
Total Time = (x/30 + y/40) hours

Thus, Average speed = (x + y) / (x/30 + y/40)

We have to determine whether (x + y) / (x/30 + y/40) > 35

Upon solving (x + y) / (x/30 + y/40) > 35, we get y/x > 4/3. Only Statement B is sufficient.

The correct answer: B

Hope this helps!

-Jay
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