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
Live EA class + 6 months of EA OnDemand
  • Expert-led weekly online sessions
  • EA Masterclass access between classes
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.

130-point score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

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

Athena walks to work

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 73
Joined: Tue Sep 09, 2008 11:39 am
by anniev2 » Mon Mar 02, 2009 7:48 am
this is from the rate problems document pulled from the resources section of this site:

Athena always walks to work at a speed of 4 miles per hour, and jogs home along the same route at a speed of 8 miles per hour. If she spends exactly 2 hours total traveling both ways, how far, in miles, is her house from her work?

(A) 2
(B) 4
(C) 16/3
(D) 20/3
(E) 8


Can someone please explain the solution below. I think the 4 in the equation is from the number of hours she walked/jogged since it reads "2 hours total traveling both ways"....does this mean she traveled 2 hours or 4 hours, I can't determine.
Attachments
Solution to Athena.jpg
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 392
Joined: Thu Jan 15, 2009 12:52 pm
Location: New Jersey
Thanked: 76 times

by truplayer256 » Mon Mar 02, 2009 7:57 am
Here's a solution that you may understand. Athena takes x hours to walk to work at a rate of 4 mph. Now if you think about it, it'll only take Athena x/2 hours to actually jog back home since she's going twice the speed that she walks to work. So,

x+x/2=2
x=4/3
It takes Athena 4/3 hours to walk to work at rate of 4 mph. Since we want to find the the distance between her home and work, we do 4(4/3)=16/3 miles
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Senior | Next Rank: 100 Posts
Posts: 49
Joined: Fri Feb 27, 2009 12:41 amFollowed by: 3 members
Thanked: 44 times

Re: Athena walks to work

by kamu » Mon Mar 02, 2009 8:04 am
anniev2 wrote:this is from the rate problems document pulled from the resources section of this site:

Athena always walks to work at a speed of 4 miles per hour, and jogs home along the same route at a speed of 8 miles per hour....
notice that the distance covered is same for these two lines.

she spends exactly 2 hours total traveling both ways
not one way!! :)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 151
Joined: Wed Feb 11, 2009 2:45 am
Thanked: 3 times

by deepoe » Mon Mar 02, 2009 9:08 am
Athena always walks to work at a speed of 4 miles per hour, and jogs home along the same route at a speed of 8 miles per hour. If she spends exactly 2 hours total traveling both ways, how far, in miles, is her house from her work?


x / 4 + x / 8 = 2

2x / 8 + x / 8 = 2

3x / 8 = 2

3x = 16

X = 16 / 3
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 392
Joined: Thu Jan 15, 2009 12:52 pm
Location: New Jersey
Thanked: 76 times

by truplayer256 » Mon Mar 02, 2009 9:16 am
Yeah, Deepoe, I think you edited your previous question on how I got the 3 from x+x/2=2. I simply solved for x.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 140
Joined: Sat Feb 28, 2009 8:51 amFollowed by: 3 members
Location: India
Thanked: 14 times

Re: Athena walks to work

by farooq » Mon Mar 02, 2009 10:10 am
anniev2 wrote:this is from the rate problems document pulled from the resources section of this site:

Athena always walks to work at a speed of 4 miles per hour, and jogs home along the same route at a speed of 8 miles per hour. If she spends exactly 2 hours total traveling both ways, how far, in miles, is her house from her work?

(A) 2
(B) 4
(C) 16/3
(D) 20/3
(E) 8


Can someone please explain the solution below. I think the 4 in the equation is from the number of hours she walked/jogged since it reads "2 hours total traveling both ways"....does this mean she traveled 2 hours or 4 hours, I can't determine.
S1=4m/h
S2=8m/h

Total time = 2 h

Distnace is same.

Therefore, ration of speed is S1:S2=t2:t1

4:8=t2:t1

or we can say t1:t2=8:4.

Now total time is 2 hrs.

So, t1=(8/12)*2 =4/3 (ratio and proportion concept).

Distance = S1*t1 = 4*(4/3)=16/3.
Regards,
Farooq Farooqui.
London. UK

It is your Attitude, not your Aptitude, that determines your Altitude.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1