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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

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

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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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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

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

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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.

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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21 Aug 2017, 18:44

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