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.
Car X and Car Y traveled the same 80-mile route. If Car X to
[#permalink]
23 Jun 2020, 04:53
23 Jun 2020, 04:53
Expert Reply
00:00
Question Stats:
95% (01:04) correct
4% (01:02) wrong based on 47 sessions
Hide Show timer Statistics
Car X and Car Y traveled the same 80-mile route. If Car X took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X, how many hours did it take Car Y to travel the route?
(A) 2/3
(B) 1
(C) 4/3
(D) 8/5
(E) 3
(A) 2/3
(B) 1
(C) 4/3
(D) 8/5
(E) 3
Re: Car X and Car Y traveled the same 80-mile route. If Car X to
[#permalink]
23 Jun 2020, 04:53
23 Jun 2020, 04:53
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
Re: Car X and Car Y traveled the same 80-mile route. If Car X to
[#permalink]
23 Jun 2020, 05:27
23 Jun 2020, 05:27
Carcass wrote:
Car X and Car Y traveled the same 80-mile route. If Car X took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X, how many hours did it take Car Y to travel the route?
(A) 2/3
(B) 1
(C) 4/3
(D) 8/5
(E) 3
(A) 2/3
(B) 1
(C) 4/3
(D) 8/5
(E) 3
There's a nice rule we can use here.
To set up the rule, recognize that if Y travels 2 times as fast as X, then Y's travel time will be 1/2 of X's.
Similarly, if Y travels 3 times as fast as X, then Y's travel time will be 1/3 of X's.
Or if Y travels 1/4 as fast as X, then Y's travel time will be 4 times X's travel time.
In general, if Y travels a/b times as fast as X, then Y's travel time will be b/a of X's travel time.
So, if Y's speed is 50% more than X's speed, we can say that Y travels 1.5 times as fast as X.
In other words, if Y travels 3/2 times as fast as X, which means Y's travel time will be 2/3 that of X's travel time.
Since X's travel time is 2 hours, Y's travel time will be (2/3)(2) = 4/3 = 1 1/3
Answer: C
Cheers,
Brent
