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.
If John had driven 1.5 times as fast on a certain trip, it would have
[#permalink]
28 Apr 2022, 01:00
28 Apr 2022, 01:00
Expert Reply
1
Bookmarks
00:00
Question Stats:
80% (00:48) correct
20% (02:56) wrong based on 10 sessions
Hide Show timer Statistics
If John had driven 1.5 times as fast on a certain trip, it would have taken him 6 hours. How many hours did it take him to drive that certain trip?
Show: ::
9
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: If John had driven 1.5 times as fast on a certain trip, it would have
[#permalink]
28 Apr 2022, 06:17
28 Apr 2022, 06:17
1
1
Bookmarks
Carcass wrote:
If John had driven 1.5 times as fast on a certain trip, it would have taken him 6 hours. How many hours did it take him to drive that certain trip?
Show: ::
9
For this question, we're comparing a hypothetical trip with an actual trip.
Let r = the travel speed of the actual trip.
So, 1.5r = the travel speed of the hypothetical trip.
Since John travels the same distance for the actual trip and the hypothetical trip, we can start with the following word equation:
distance travelled during the ACTUAL trip = distance travelled during the HYPOTHETICAL trip
Let t = the travel time for the ACTUAL trip
Since distance = (rate)(time), we can plug our values into the word equation to get: rt = (1.5r)(6)
Expand: rt = 9r
Divide both sides of the equation by r to get: t = 9
Answer: 9
Intern
Joined: 11 Sep 2023
Posts: 43
Given Kudos: 5
GRE 1: Q155 V141
If John had driven 1.5 times as fast on a certain trip, it would have
[#permalink]
10 Oct 2023, 01:20
10 Oct 2023, 01:20
1
In our case, suppose S1 = x, then S2=1.5x. T2=6h
as we know, speed and time are inversely proportional.
Hence, S1/S2 = T2/T1.
x/1.5x = 6/T1
Hence, T1 = 6* 1.5 = 9h
as we know, speed and time are inversely proportional.
Hence, S1/S2 = T2/T1.
x/1.5x = 6/T1
Hence, T1 = 6* 1.5 = 9h
