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.
Carl drove from his home to the beach at an average speed of 80 kilome
[#permalink]
29 Apr 2022, 01:00
29 Apr 2022, 01:00
Expert Reply
00:00
Question Stats:
100% (02:15) correct
0% (00:00) wrong based on 10 sessions
Hide Show timer Statistics
Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers did Carl drive each way?
Show: ::
280
Part of the project: GRE Quantitative Reasoning Daily Challenge - (2022) EDITION
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: Carl drove from his home to the beach at an average speed of 80 kilome
[#permalink]
29 Apr 2022, 06:37
29 Apr 2022, 06:37
1
1
Bookmarks
Carcass wrote:
Carl drove from his home to the beach at an average speed of 80 kilometers per hour and returned home by the same route at an average speed of 70 kilometers per hour. If the trip home took 1/2 hour longer than the trip to the beach, how many kilometers did Carl drive each way?
Show: ::
280
Since the travel time going home was 0.5 hours longer than the travel time going to the beach, we can start with the following word equation:
(travel time going home) - (travel time to beach) = 0.5
Let d = the distance from home to beach
Since time = distance/rate, we can plug in the given values to get: (d/70) - (d/80) = 0.5
To eliminate the fractions, multiply both sides of the equation by 560 to get: 8d - 7d = 280
Simplify: d = 280
Answer: 280
Re: Carl drove from his home to the beach at an average speed of 80 kilome
[#permalink]
08 Jan 2023, 08:15
08 Jan 2023, 08:15
1
D=RT
D=R1T1=R2T2
R1=80
R2=70
T2=T1+0.5
Therefore,
D=80T1=70(T1+0.5)
80T1-70T1=35
T1=3.5
D=R1T1
D=3.5*80
D=280
D=R1T1=R2T2
R1=80
R2=70
T2=T1+0.5
Therefore,
D=80T1=70(T1+0.5)
80T1-70T1=35
T1=3.5
D=R1T1
D=3.5*80
D=280
