Frank and Georgia started traveling from A to B at the same

Expert replies

Previous Topic Next Topic

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

by BTGmoderatorLU » Fri Jan 25, 2019 2:38 pm

Timer

00:00

Answers

Stats

Difficulty—

Source: Magoosh

Frank and Georgia started traveling from A to B at the same time. Georgia's constant speed was 1.5 times Frank's constant speed. When Georgia arrived at B, she turned right around and returned by the same route. She crosses paths with Frank, who still was coming toward B when they were 60 miles away from B. How far away are A and B?

A. 72 miles
B. 120 miles
C. 144 miles
D. 240 miles
E. 300 miles

The OA is E

Like this post

Source: Beat The GMAT — Problem Solving | Fri Jan 25, 2019 2:38 pm

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pmFollowed by: 1906 members; Location: New York, NY; Thanked: 13060 times; GMAT Score:790

by GMATGuruNY » Sat Jan 26, 2019 4:03 am

BTGmoderatorLU wrote:Source: Magoosh

Frank and Georgia started traveling from A to B at the same time. Georgia's constant speed was 1.5 times Frank's constant speed. When Georgia arrived at B, she turned right around and returned by the same route. She crosses paths with Frank, who still was coming toward B when they were 60 miles away from B. How far away are A and B?

A. 72 miles
B. 120 miles
C. 144 miles
D. 240 miles
E. 300 miles

Let d = the number of miles between A and B.

Since Georgia travels the entire d miles between A and B and then an additional 60 miles back toward A, Georgia's distance = d+60.
Since Frank travels all but 60 of the d miles between A and B, Frank's distance = d-60.
Since Georgia's travels 3/2 times as fast as Frank, her distance must be 3/2 times Frank's distance:
d+60 = (3/2)(d-60)
2d+120 = 3(d-60)
2d+120 = 3d-180
300 = d.

The correct answer is E.

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

Like this post

swerve: Legendary Member; Posts: 2548; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

by swerve » Sat Jan 26, 2019 8:03 am

Let the total distance = x.
Distance covered by G = x+60.
Distance covered by F = x-60.

Since the time required to cover the above distance is the same, we have that

Tg = Tf
x+60/1.5s = x-60/s
1.5x -90= x+60
0.5x= 150
x= 300.

Regards!

Like this post

deloitte247: Legendary Member; Posts: 2214; Joined: Fri Mar 02, 2018 2:22 pmFollowed by: 5 members

edited

by deloitte247 » Sun Jan 27, 2019 4:52 am

Let total distance covered be = x
Total distance covered by Georgia = x + 60
Total distance covered by Franck = x - 60
Since time required to cover the distance are the same
Time of Georgia = Time of Franck
$$\frac{\left(x+60\right)}{1.5}=\frac{\left(x-60\right)}{1}$$
$$1.5x-90=x+60$$
$$1.5x-x=60+90$$
$$0.5x=150$$
$$\frac{0.5x}{0.5}=\frac{150}{0.5}$$
$$x=300$$

$$answer\ is\ Option\ E$$

Like this post

GMAT/MBA Expert

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 Feb 15, 2019 5:16 pm

BTGmoderatorLU wrote:Source: Magoosh

Frank and Georgia started traveling from A to B at the same time. Georgia's constant speed was 1.5 times Frank's constant speed. When Georgia arrived at B, she turned right around and returned by the same route. She crosses paths with Frank, who still was coming toward B when they were 60 miles away from B. How far away are A and B?

A. 72 miles
B. 120 miles
C. 144 miles
D. 240 miles
E. 300 miles

The OA is E

We can let r = Frank's speed, and thus 1.5r = Georgia's speed. Furthermore, we can let d = the distance between A and B and t = the time Frank has traveled from A to B when he's still 60 miles from B. Therefore, we can create the following equations:

rt + 60 = d (since Frank has 60 miles more to go to reach B)

and

(1.5r)t - rt = 120 (since when Georgia meets Frank, she has traveled 60 x 2 = 120 miles more than
Frank)

Simplifying the last equation, we have:

0.5rt = 120

rt = 240

Substituting this into the first equation, we have:

240 + 60 = d

d = 300

Answer: E

Scott Woodbury-Stewart
Founder and CEO
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

Like this post

Post new topic Post Reply

• Page 1 of 1

GMAT Course Reviews

560 reviews

1168 reviews

431 reviews

359 reviews

147 reviews

5/5

5 Star (560 Reviews)

"Target Test Prep is the closest to the official version of the GMAT exam, about 99% accuracy in terms of the quality and quantity of information. The course has excellently created singular sets of focused lessons and tests for every possible topic that one could come across in the official GMAT exam."

"The TTP course maximizes the efficiency of the time you spend studying. It will take time and effort but I could almost guarantee that if you complete the course exactly as it is laid out you will get an amazing score. They also have a very responsive team willing to help with any questions you might have."

"TTP has two things that I think no other test prep company offers: A teaching approach that reinforces understanding and an attitude that will give you the mental preparedness needed to succeed on the test. TTP gives you a deep understanding of the concept you need to know while teaching you how to think."

Write a Review