Randy can run Ï€ meters every 2 seconds...

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BTGmoderatorLU: Moderator; Posts: 2558; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Mon Dec 18, 2017 3:43 pm

Randy can run Ï€ meters every 2 seconds. If the circular track has a radius of 75 meters, how many minutes does it take Randy to run twice around the track?

A. 150 seconds
B. 300 seconds
C. 600 seconds
D. 1200 seconds
E. 22500 seconds

The OA is C.

I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

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Source: Beat The GMAT — Problem Solving | Mon Dec 18, 2017 3:43 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 amFollowed by: 34 members; Location: Grand Central / New York; Thanked: 470 times

by Jay@ManhattanReview » Tue Dec 19, 2017 12:53 am

LUANDATO wrote:Randy can run Ï€ meters every 2 seconds. If the circular track has a radius of 75 meters, how many seconds does it take Randy to run twice around the track?

A. 150 seconds
B. 300 seconds
C. 600 seconds
D. 1200 seconds
E. 22500 seconds

The OA is C.

I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

Speed of Randy = Ï€/2 meters/second

Length of twice the track = 2*Circumference = 2*2Ï€r = 4Ï€*75 = 300Ï€ meters

Time taken to complete twice the track = 300Ï€ / (Ï€/2) = 600 seconds.

The correct answer: C

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8157; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

by Scott@TargetTestPrep » Fri Sep 13, 2019 3:28 pm

BTGmoderatorLU wrote:Randy can run Ï€ meters every 2 seconds. If the circular track has a radius of 75 meters, how many minutes does it take Randy to run twice around the track?

A. 150 seconds
B. 300 seconds
C. 600 seconds
D. 1200 seconds
E. 22500 seconds

The OA is C.

I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.

The circumference of the circular track is 2 x Ï€ x 75 = 150Ï€, and Randy's rate is Ï€/2 meters per second. So it will take Randy 2 x 150Ï€ / (Ï€/2) = 300Ï€ x 2/Ï€ = 600 seconds to run around the track twice.

Answer: C

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