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Difficulty:   25% (medium)

Question Stats: 77% (01:45) correct 23% (02:34) wrong based on 173 sessions

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Tough and Tricky questions: Word Problems.

A taxi company charges $1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with$4.90?

A. 4 miles
B. 4 1/4 miles
C. 4 3/4 miles
D. 5 1/2 miles
E. 6 1/4 miles

Kudos for a correct solution.

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Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink] Show Tags 2 1$1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with
Distance = 1/4 + [ (4.90 - 1.75) / 0.15 ] * 1/4 = 5 1/2
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GMAT 1: 700 Q49 V35 Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink] Show Tags Bunuel wrote: Tough and Tricky questions: Word Problems. A taxi company charges$1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90? A. 4 miles B. 4 1/4 miles C. 4 3/4 miles D. 5 1/2 miles E. 6 1/4 miles Kudos for a correct solution. First 1/4 mile = 1.75 Total cost =$4.9

Remaining cost after first 1/4 mile = $4.15 => 4.15/.15 = 5 1/4 miles total 5 1/2 miles Ans D _________________ ------------------------------------- Manager  Joined: 10 May 2014 Posts: 136 Re: A taxi company charges$1.75 for the first quarter of a mile and fifte  [#permalink]

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1
Convert dollars to cents to make your life easier.

490 = 175 + (15q)
315 = 15q
q = 21

Therefore you´ll have 21 quarters of a mile plus the additional quarter of a mile.
That´s 22/4 miles or 5.5 miles.

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Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink] Show Tags Easy of calculations consider multiplying all numbers by 100 and then doing calculations orally. Subtract 490-175==> 490-200+25==>290+25==> 315 Now divide 315/15= 21. This is the total quarter miles that you will travel with 0.15$. Hence total number of miles =21/4=5miles + 1 quarter.

Add 1st quarter for the intial 1.75$which brings the total to 5 and 1/2 miles. SVP  Status: The Best Or Nothing Joined: 27 Dec 2012 Posts: 1749 Location: India Concentration: General Management, Technology WE: Information Technology (Computer Software) Re: A taxi company charges$1.75 for the first quarter of a mile and fifte  [#permalink]

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Answer = D. 5 1/2 miles

First quarter charge = 1.75

As soon as first quarter travel ends, balance = 4.90 - 1.75 = 3.15

Quarters in balance amount $$= \frac{3.15}{0.15} = 21$$

Total quarters = 1+21 = 22

Total miles $$= \frac{22}{4} = 5 \frac{2}{4} = 5 \frac{1}{2}$$
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Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink] Show Tags Bunuel wrote: Tough and Tricky questions: Word Problems. A taxi company charges$1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90? A. 4 miles B. 4 1/4 miles C. 4 3/4 miles D. 5 1/2 miles E. 6 1/4 miles Kudos for a correct solution. OFFICIAL SOLUTION: (D) If we start out with$4.90 and have to spend $1.75 for the first quarter-mile, we will have$3.15 left to spend on quarter-mile intervals.

Since $3.15/$0.15 = 21, we can buy 21 more quarter-miles, and will travel 22 quarter miles in all:
22 × 1/4 = 5 1/2 miles.

The correct answer is choice (D).
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Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink] Show Tags Bunuel wrote: Tough and Tricky questions: Word Problems. A taxi company charges$1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with $4.90? A. 4 miles B. 4 1/4 miles C. 4 3/4 miles D. 5 1/2 miles E. 6 1/4 miles We can let x = the number of ¼-miles traveled with$4.90 and create the following equation:

1.75 + 0.15(x - 1) = 4.90

175 + 15x - 15 = 490

160 + 15x = 490

15x = 330

x = 22

We see that 22 quarter-miles can be traveled with $4.90 and 22 x ¼ = 5 ½ miles. Answer: D _________________ Jeffrey Miller Head of GMAT Instruction Jeff@TargetTestPrep.com See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews If you find one of my posts helpful, please take a moment to click on the "Kudos" button. EMPOWERgmat Instructor V Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 15263 Location: United States (CA) GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: A taxi company charges$1.75 for the first quarter of a mile and fifte  [#permalink]

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Hi All,

Since the answers are NOT nice 'round' numbers, you can use a variation on TESTing THE ANSWERS - but instead of using the answers that are given, you can use round numbers to eliminate options.

We're told that the first 1/4 mile costs $1.75 and each additional 1/4 mile costs$0.15. We're asked for the maximum distance that could be traveled for $4.90 Based on the answer choices, I'll start with what a 5 mile trip cost... The first mile would cost$1.75 + 3($0.15) =$2.20
Each additional mile would cost 4($0.15) =$0.60
So a 5 mile trip would cost $2.20 + 4($0.60) = $2.20 +$2.40 = $4.60 Since we're dealing with$4.90, we will clearly end up going more than 5 miles (so we can eliminate Answers A, B and C)... but we wouldn't travel that much more than 5 miles... From here, it's fairly easy to determine that the additional $0.30 would get us an extra 1/2 mile. Final Answer: GMAT assassins aren't born, they're made, Rich _________________ SVP  V Joined: 26 Mar 2013 Posts: 2345 Re: A taxi company charges$1.75 for the first quarter of a mile and fifte  [#permalink]

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Bunuel wrote:

Tough and Tricky questions: Word Problems.

A taxi company charges $1.75 for the first quarter of a mile and fifteen cents for each additional quarter of a mile. What is the maximum distance someone could travel with$4.90?

A. 4 miles
B. 4 1/4 miles
C. 4 3/4 miles
D. 5 1/2 miles
E. 6 1/4 miles

Kudos for a correct solution.

Organize unites

First mile cost =$1.75 each mile cost =$0.15
Total cost of a trip= $4.90 Setting up equation: Cost of first mail + cost of each quarter * number of quarter (x) = 4.90 1.75 + (0.15) * x = 4.9 (0.15) * (x) = 3.15 (15) * (x) = 315....x = 21 but this number of quarters.. Converting it to miles = 21 * 1/4 = 5 1/4 (after first quarter) Do not forget first quarter to added to the above maximum distance = 5 1/4 + 1/4 = 5 1/2 Answer: D Non-Human User Joined: 09 Sep 2013 Posts: 13235 Re: A taxi company charges$1.75 for the first quarter of a mile and fifte  [#permalink]

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_________________ Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink] 03 Jul 2019, 09:25 Display posts from previous: Sort by A taxi company charges$1.75 for the first quarter of a mile and fifte

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