BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Need an easy method to solve this one!

Expert replies
by GmatKiss » Fri Oct 21, 2011 3:04 am
Car B starts at point X and moves clockwise around a circular track at a constant rate of 2 mph. Ten hours later, Car A leaves from point X and travels counter-clockwise around the same circular track at a constant rate of 3 mph. If the radius of the track is 10 miles, for how many hours will Car B have been traveling when the cars have passed each other for the first time and put another 12 miles between them (measured around the curve of the track)?

4(pi)- 1.6

4(pi)+ 8.4

4(pi)+ 10.4

2(pi)- 1.6

2(pi)- 0.8
Last edited by GmatKiss on Fri Oct 21, 2011 3:35 am, edited 1 time in total.
Join the discussion
Source: — Problem Solving |

by user123321 » Fri Oct 21, 2011 3:18 am
GmatKiss wrote:Car B starts at point X and moves clockwise around a circular track at a constant rate of 2 mph. Ten hours later, Car A leaves from point X and travels counter-clockwise around the same circular track at a constant rate of 3 mph. If the radius of the track is 10 miles, for how many hours will Car B have been traveling when the cars have passed each other for the first time and put another 12 miles between them (measured around the curve of the track)?

4- 1.6

4+ 8.4

4+ 10.4

2- 1.6

2- 0.8
is it 4 + 10.4?
Join the discussion

by shankar.ashwin » Fri Oct 21, 2011 3:19 am
The circumference of the track = 2Pi(r) = 20Pi ~ 20*3 = 60

Since they travel in opposite direction, they relative speeds will be 2+3=5mph.

Now after meeting they travel an additional 12 miles, so total distance = 60+12 = 72.

Time = Distance/speed = 72/5 = 14.4 C IMO
Join the discussion

by GmatKiss » Fri Oct 21, 2011 3:37 am
sorry guys missed out (pi) when posting the question; accordingly edited!
Join the discussion

by Anurag@Gurome » Fri Oct 21, 2011 3:39 am
GmatKiss wrote:Car B starts at point X and moves clockwise around a circular track at a constant rate of 2 mph. Ten hours later, Car A leaves from point X and travels counter-clockwise around the same circular track at a constant rate of 3 mph. If the radius of the track is 10 miles, for how many hours will Car B have been traveling when the cars have passed each other for the first time and put another 12 miles between them (measured around the curve of the track)?
All the answer choices are missing π in their expressions.

The circumference of the circular track = 2*Ï€*10 = 20Ï€ miles

Let us start our analysis from the point when car A starts its journey.
At that time B has already covered (2*10) = 20 miles
Hence, distance between A and B = (20Ï€ - 20) miles

As A and B are moving towards each other, their relative speed = (2 + 3) = 5 mph

Hence, time required to cover the distance between them and 12 more miles = [(20Ï€ - 20) + 12]/5 = (20Ï€ - 8)/5 = (4Ï€ - 1.6) hours

Hence, B is traveling for (4Ï€ - 1.6) + 10 = (4Ï€ + 8.4) hours

The correct answer is B.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/
Join the discussion

by neelgandham » Fri Oct 21, 2011 3:39 am
I think the options are not what GmatKiss intended to type ?

Here is the solution:

As radius of the circular track is 10m, the circumference XPQX = 20*pi

Step 1 :

Let P be the point where B was when A started from X:
Time taken by B to reach P = 10 hours
Speed to B = 2mph
Distance covered = S*t = 20 miles

Step 2

Let Q be the point where A and B meet
Time taken = t1
Speed = 2+3 mph (Relative speed = Speed 1 + Speed 2)
Distance = xpqx - xp = 20pi -20

Time = t1 = distance /speed = (20pi-20)/5 = 4pi-4hours

Step 3

Distance = 12 miles
Say, time taken by the cars so that the distance between them is 12 miles = t2
Speed = 2+3 mph (Relative speed = Speed 1 + Speed 2)

Time = t2 = distance /speed = 12)/5 = 2.4

Total time taken by B [spoiler]= 10 + 4pi - 4 +2.4 = 4pi+8.4[/spoiler] (Option B , if that is what is it is :D)
Attachments
Cars.JPG
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now's online course at https://www.gmatprepnow.com/
Join the discussion

by GMATGuruNY » Fri Oct 21, 2011 3:51 am
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Join the discussion