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The rental charge for a car is 34 cents for the first 1/4 mi

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The rental charge for a car is 34 cents for the first 1/4 mi [#permalink] New post 22 Oct 2007, 08:47
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The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?

A. 2.50
B. 3.00
C. 3.25
D. 3.75
E. 4.00

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Re: PS - Algebra [#permalink] New post 22 Oct 2007, 08:54
bmwhype2 wrote:
The rental charge for a car is 34 cents for the 1st 1/4 mile driven and 6 cents for ever 1/5 mile driven over the initial 1/4 mile.

If a guy paid 1.24 in rental charge, how many miles did he drive?

2.50
3.00
3.25
3.75
4.00


1.24 - .34 = 90 cents

90/6 = 15 quarter miles

15* 1/5 = 3 miles

3 + .25 = 3.25 total
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 [#permalink] New post 22 Oct 2007, 08:56
For first 0.25 miles 34 cents.

So the person is left with 1.24-0.34 = 0.9

So the person can travel next (90/6) times 1/5 miles

i.e 15 *1/5 miles = 3 miles.

SO total distance is 3 + 0.25 = 3.25 miles(C)
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Re: PS - Algebra [#permalink] New post 22 Oct 2007, 14:46
bmwhype2 wrote:
The rental charge for a car is 34 cents for the 1st 1/4 mile driven and 6 cents for ever 1/5 mile driven over the initial 1/4 mile.

If a guy paid 1.24 in rental charge, how many miles did he drive?

2.50
3.00
3.25
3.75
4.00


Total Rent = Rent for the first 0.25 mile + Rent After 0.25 mile

Rent for the first 0.25 mile = 34 cents
Rent After 0.25 mile = [6 cent/(1/5 mile)]*(x - 0.25) = 30(x-0.25)
Therefore, Total Rent = 35 + 30(x - 0.25)
124 = 34 + 30(x - 0.25)
90 = 30(x - 0.25)
3 = x - 0.25
x = 3 + 0.25 = $3.25
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Re: Miles [#permalink] New post 30 Sep 2009, 10:23
price= (total way - 1/4)*0,06/(1/5)+34
1,24=(total way-0,25)*0,3+34
total way= 3,25
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Re: PS [#permalink] New post 09 May 2010, 12:12
The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?

We know that 100 cents = 1$
Therefore , Total Amount man paid = $1.24 = 124 cents.
for first 1/4 mile = 34 cents = 124-34 = 90 cents
1/5 of a mile = 6 cents = 15 mile.
total miles drive = 15 mile + 0.25 mile = 15.25 miles
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Re: PS [#permalink] New post 09 May 2010, 12:18
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LM wrote:
The rental charge for a car is 34 cents for the first 1/4 mile driven and 6 cents for every 1/5 mile driven over the initial 1/4 mile. If a man paid $1.24 in rental charges, how many miles did he drive?


Let n be the total miles driven.

total amount = rental charge for 1/4 mile initially + rental charge as 6 cents per 1/5 mile

124 = 34 + (n-1/4) * 30 ( 6cents for 1/5 miles => 30 cents/mile...distance chargeable at this rate = n-1/4

=> n = 3+ 1/4 = 3.25 miles

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Re: m22 #5 [#permalink] New post 11 May 2010, 23:10
he drove 3 1/4 miles. first quarter mile which cost 34 cents. So subtract 34 cents from $1.24. Remainder of trip cost 90 cents. Divide this by 6c per 1/5 of mile. 90/6=15. 15/5 of a mile is 3 miles. Add back the original 1/4 mile.
Re: m22 #5   [#permalink] 11 May 2010, 23:10
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