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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
A certain NYC taxi driver has decided to start
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26 Sep 2016, 10:25
26 Sep 2016, 10:25
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Question Stats:
38% (01:13) correct
61% (01:09) wrong based on 39 sessions
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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
