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# A certain NYC taxi driver has decided to start charging a

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VP
Joined: 30 Jun 2008
Posts: 1034
A certain NYC taxi driver has decided to start charging a [#permalink]

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29 Oct 2008, 06:29
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65% (hard)

Question Stats:

51% (01:48) correct 49% (00:47) wrong based on 602 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
[Reveal] Spoiler: OA

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Joined: 12 Sep 2015
Posts: 1551
A certain NYC taxi driver has decided to start charging a [#permalink]

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26 Sep 2016, 11:22
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amitdgr 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

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
=
[Reveal] Spoiler:
D

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Re: PS : NYC Taxi Driver [#permalink]

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29 Oct 2008, 06:38
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r/100 dollars per person per mile

one person going x miles will be charged rx/100
50% discount = rx/200

3such people = 3rx/200
Math Forum Moderator
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Re: A certain NYC taxi driver has decided to start charging a [#permalink]

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26 Sep 2016, 12:08
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amitdgr 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

Quote:
The taxi driver is charging : At a rate of r cents per person per mile.

So, Charges for 3 people to travel x miles will be : $$3*x*r$$% => $$\frac{3rx}{100}$$

Quote:
he decides to give them a 50% discount

Charges for 3 people to travel x miles will be : $$\frac{3rx}{100} * 50$$% => $$\frac{3rx}{100}*\frac{50}{100}$$ = $$\frac{3xr}{200}$$

So, Answer will be (D) $$\frac{3xr}{200}$$
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Intern
Joined: 24 May 2016
Posts: 18
Location: Germany
A certain NYC taxi driver has decided to start charging a [#permalink]

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03 Jun 2017, 05:25
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Test values:
let r be 100, so r equals 100 cents or $1. Now the driver charges for one person$1 per mile, that means he will charge for 3 people $3 per mile. Now let x equals 2. For 2 miles the driver will charge now for the 3 people$6. Now consider the 50% discount, which leads to the final charge of $3 for the 3 people. If you plug in now the values x=2, r=100 you will get for A 300, which is the amount in cents but the question clearly states that we want the amount in dollars. Only option D yields 3 and thus is a match. D is the answer! Senior Manager Joined: 21 Apr 2008 Posts: 269 Location: Motortown Re: PS : NYC Taxi Driver [#permalink] ### Show Tags 29 Oct 2008, 06:36 D Almost stepped into the trap 3xr/2 is in cents - 3xr/200 dollars Senior Manager Joined: 04 Aug 2008 Posts: 375 Re: PS : NYC Taxi Driver [#permalink] ### Show Tags 29 Oct 2008, 06:42 rate*miles*passangers/discount discount has to be in dollars so 1/2/100/1=200 rx3/200 D _________________ The one who flies is worthy. The one who is worthy flies. The one who doesn't fly isn't worthy VP Joined: 30 Jun 2008 Posts: 1034 Re: PS : NYC Taxi Driver [#permalink] ### Show Tags 29 Oct 2008, 08:01 OA is D. I picked up A fell into the trap _________________ "You have to find it. No one else can find it for you." - Bjorn Borg Intern Joined: 28 Apr 2014 Posts: 23 A certain NYC taxi driver [#permalink] ### Show Tags 24 Jun 2015, 06:07 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 Intern Joined: 28 Apr 2014 Posts: 23 Re: A certain NYC taxi driver [#permalink] ### Show Tags 24 Jun 2015, 06:10 I think the correct answer is A if it is D please inform me why/ SVP Joined: 08 Jul 2010 Posts: 1732 Location: India GMAT: INSIGHT WE: Education (Education) Re: A certain NYC taxi driver [#permalink] ### Show Tags 24 Jun 2015, 06:24 Expert's post 2 This post was BOOKMARKED zahraf 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 Charge for One person and One mile = r cents i.e. Charge for 3 persons and One mile = 3*r cents i.e. Charge for 3 persons and 'x' miles = 3*r*x cents After Discount, Charge = 50% of (3*r*x) cents i.e. Charged Amount = (1/2)*(3*r*x) cents But 1 Dollar = 100 Cents i.e. Charged Amount in Dollar = (1/2)*(3*r*x)/100 Dollars i.e. Charged Amount in Dollar = (3*r*x)/200 Dollars Answer: Option [Reveal] Spoiler: D _________________ Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html 22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION SVP Joined: 08 Jul 2010 Posts: 1732 Location: India GMAT: INSIGHT WE: Education (Education) A certain NYC taxi driver [#permalink] ### Show Tags 24 Jun 2015, 06:25 zahraf wrote: I think the correct answer is A if it is D please inform me why/ Hi zahraf You seem to have missed converting Cents in to Dollars I hope it helps! _________________ Prosper!!! GMATinsight Bhoopendra Singh and Dr.Sushma Jha e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772 Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi http://www.GMATinsight.com/testimonials.html 22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION CEO Joined: 17 Jul 2014 Posts: 2524 Location: United States (IL) Concentration: Finance, Economics Schools: Stanford '20 GMAT 1: 650 Q49 V30 GPA: 3.92 WE: General Management (Transportation) Re: A certain NYC taxi driver has decided to start charging a [#permalink] ### Show Tags 04 Nov 2015, 14:37 yep...classic trap. I hate when the questions do this! :D Intern Joined: 24 Aug 2016 Posts: 19 Location: India WE: Project Management (Aerospace and Defense) Re: A certain NYC taxi driver has decided to start charging a [#permalink] ### Show Tags 11 Dec 2016, 17:22 zahraf wrote: I think the correct answer is A if it is D please inform me why/ Answer asked for how many dollars not cents 100 cent equal to 1 dollar. Need to convert it to Dollar means divided by 100 Manager Joined: 16 Jan 2017 Posts: 63 GMAT 1: 620 Q46 V29 Re: A certain NYC taxi driver has decided to start charging a [#permalink] ### Show Tags 13 Mar 2017, 07:28 and I am that guy that falls into the trap hahaha. I guess you just have to read the questions more carefully. Manager Joined: 19 Aug 2015 Posts: 109 Location: India GMAT 1: 650 Q49 V30 Re: A certain NYC taxi driver has decided to start charging a [#permalink] ### Show Tags 05 Jun 2017, 09:00 3xr/2 in cents 3xr/200 in dollar Re: A certain NYC taxi driver has decided to start charging a [#permalink] 05 Jun 2017, 09:00 Similar topics Replies Last post Similar Topics: 1 Jim’s Taxi Service charges an initial fee of$2.25 at the beginning 3 29 Oct 2016, 04:33
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