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Tim and Glenn are running laps around a circular track. If

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Tim and Glenn are running laps around a circular track. If

by BTGmoderatorDC » Sun Oct 21, 2018 6:39 pm

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Tim and Glenn are running laps around a circular track. If they start at exactly the same time, in how many seconds will Tim have run exactly one lap further than Glenn?

(1) Tim runs each lap in 48 seconds and Glenn runs each lap in 60 seconds.

(2) The track is 400 meters in circumference.

OA A

Source: Veritas Prep
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by Jay@ManhattanReview » Sun Oct 21, 2018 9:40 pm

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BTGmoderatorDC wrote:Tim and Glenn are running laps around a circular track. If they start at exactly the same time, in how many seconds will Tim have run exactly one lap further than Glenn?

(1) Tim runs each lap in 48 seconds and Glenn runs each lap in 60 seconds.

(2) The track is 400 meters in circumference.

OA A

Source: Veritas Prep
Given: Tim and Glenn are running laps around a circular track and start at exactly the same time.

Question: In how many seconds will Tim have run exactly one lap further than Glenn?

Let's take each statement one by one.

(1) Tim runs each lap in 48 seconds and Glenn runs each lap in 60 seconds.

We see that Tim runs faster than Glenn. Say Tim completes x laps and Glenn completes (x + 1). Thus,

60x = 48(x + 1)

=> x = 4

Tim will have run exactly one lap further than Glenn in 60*4 = 240 seconds. Sufficient.

(2) The track is 400 meters in circumference.

Certainly insufficient since we do not know anything about the speeds. Insufficient.

The correct answer: A

Hope this helps!

-Jay
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by swerve » Mon Oct 22, 2018 9:31 am

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Statement 1 tells us that every 60 seconds Tim runs 1 1/4 lap while Glen runs 1 lap. So after 4 x 60 = 240 seconds, Tim will have run a full lap more than Glen has.

Sufficient.

Statement 2 gives no information regarding their relative rates.

Insufficient.

The correct answer is A.

Regards!
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