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A taxi company charges $1.75 for the first quarter of a mile and fifte

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A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink]

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New post 24 Dec 2014, 08:52
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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

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[Reveal] Spoiler: OA

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Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink]

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New post 24 Dec 2014, 10:13
Hello,

Do you have the answer to this one?

Thank you.

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New post 24 Dec 2014, 10:26

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Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink]

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New post 24 Dec 2014, 10:34
OK I figured out what I didn't notice in my solution...

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Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink]

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New post 24 Dec 2014, 11:30
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$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
Answer D
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Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink]

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New post 24 Dec 2014, 12:14
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
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Re: A taxi company charges $1.75 for the first quarter of a mile and fifte [#permalink]

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New post 24 Dec 2014, 13:22
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.

Correct Answer: D
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New post 24 Dec 2014, 22:45
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.

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New post 31 Dec 2014, 00:41
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]

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New post 08 Jan 2015, 08:52
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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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