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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
A certain NYC taxi driver has decided to start
[#permalink]
26 Sep 2016, 10:25
26 Sep 2016, 10:25
1
00:00
Question Stats:
37% (01:13) correct
62% (01:11) wrong based on 40 sessions
Hide Show timer Statistics
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?
A. 3xr/2
B. 3x/200r
C. 3r/200x
D. 3xr/200
E. xr/600
A. 3xr/2
B. 3x/200r
C. 3r/200x
D. 3xr/200
E. xr/600
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A certain NYC taxi driver has decided to start
[#permalink]
26 Sep 2016, 10:26
26 Sep 2016, 10:26
1
GreenlightTestPrep wrote:
A certain NYC taxi driver has decided to start charging a rate of r cents per person per mile. How much, in dollars, would it cost 3 people to travel x miles if he decides to give them a 50% discount?
A. 3xr/2
B. 3x/200r
C. 3r/200x
D. 3xr/200
E. xr/600
A. 3xr/2
B. 3x/200r
C. 3r/200x
D. 3xr/200
E. xr/600
Here's an algebraic approach:
A certain taxi driver charges a rate of r CENTS per person per mile
r CENTS = r/100 DOLLARS [e.g., 3 cents = 3/100 dollars]
Since there are 3 people, the rate is (3)(r/100) DOLLARS per mile
In other words, the rate is 3r/100 dollars per mile.
With a 50% discount, the new rate = (1/2)(3r/100)
In other words, the discounted rate = 3r/200 dollars per mile.
[how much] would it cost three people to travel x miles?
TOTAL cost = (rate)(distance)
= (3r/200 dollars per mile)(x miles)
= 3rx/200 dollars
=
Show: ::
D
Re: A certain NYC taxi driver has decided to start
[#permalink]
27 Sep 2016, 02:29
27 Sep 2016, 02:29
Expert Reply
Here is when the GMAT experience comes in to the picture. without calculations
3 people * x miles * a certain \(\frac{r}{100}\) charge * a certain discount * 0.5 or \(\frac{1}{2}\).
You will end up with D
Regards
3 people * x miles * a certain \(\frac{r}{100}\) charge * a certain discount * 0.5 or \(\frac{1}{2}\).
You will end up with D
Regards
