GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Jul 09Sign up for 1 Week GRE Free Trial
10:00 AM PDT
-11:00 AM PDT
Free 1-week access to over 20 lesson videos and 20 practice questions. No payment info required.
Marla starts running around a circular track at the same tim
[#permalink]
24 Jun 2020, 09:27
24 Jun 2020, 09:27
Expert Reply
1
Bookmarks
00:00
Question Stats:
63% (01:53) correct
36% (02:29) wrong based on 44 sessions
Hide Show timer Statistics
Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 32 laps around the track per hour and Nick completes 12 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
(A) 5
(B) 8
(C) 12
(D) 15
(E) 20
(A) 5
(B) 8
(C) 12
(D) 15
(E) 20
Re: Marla starts running around a circular track at the same tim
[#permalink]
24 Jun 2020, 09:27
24 Jun 2020, 09:27
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Marla starts running around a circular track at the same tim
[#permalink]
24 Jun 2020, 09:31
24 Jun 2020, 09:31
2
Carcass wrote:
Marla starts running around a circular track at the same time Nick starts walking around the same circular track. Marla completes 32 laps around the track per hour and Nick completes 12 laps around the track per hour. How many minutes after Marla and Nick begin moving will Marla have completed 4 more laps around the track than Nick?
(A) 5
(B) 8
(C) 12
(D) 15
(E) 20
(A) 5
(B) 8
(C) 12
(D) 15
(E) 20
Let t = the time (in HOURS) that it takes Marla to complete 4 more laps than Nick.
So, after t hours, we can write: (Marla's lap count) = (Nick's lap count) + 4
Now that we have a "word equation" we need only fill in the missing information
Marla completes 32 laps per hour
We can think of 1 lap as being a unit of distance.
So, 32 laps per hour is Marla's speed.
Distance = (speed)(time)
So, after t hours, Marla's lap count = 32t
Nick completes 12 laps around the track per hour
So, after t hours, Nick's lap count = 12t
We can now plug the above values into the word equation.
We get: 32t = 12t + 4
Subtract 12t from both sides to get: 20t = 4
Solve: t = 4/20 = 1/5 HOURS
1/5 hours = 12 minutes.
Answer: C
