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

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CEO
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The rental charge for a car is 34 cents for the first 1/4 mi [#permalink]

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22 Oct 2007, 08:47
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45% (medium)

Question Stats:

67% (01:33) correct 33% (02:18) wrong based on 164 sessions

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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

M22-05
[Reveal] Spoiler: OA

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CEO
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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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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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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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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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Manager
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09 May 2010, 12:12
1
KUDOS
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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CEO
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09 May 2010, 12:18
1
KUDOS
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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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.

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Re: The rental charge for a car is 34 cents for the first 1/4 mi [#permalink]

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22 Jun 2015, 14:29
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Re: The rental charge for a car is 34 cents for the first 1/4 mi [#permalink]

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01 Aug 2016, 11:35
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The rental charge for a car is 34 cents for the first 1/4 mi [#permalink]

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18 Oct 2016, 09:14
We have \$1.24 as the final bill amount.

Subtract off \$0.34 --> gives us \$0.9 left

How many times can we go 1/5 mile @ \$0.06 with \$0.9? A: \$0.9/\$0.06 = 15 times --> 15(1/5 mi) = 3 mi

Thus, we get 3.25 miles

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Re: The rental charge for a car is 34 cents for the first 1/4 mi   [#permalink] 18 Oct 2016, 09:14
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