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

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Joined: 21 Jan 2007
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The rental charge for a car is 34 cents for the first 1/4 mi [#permalink]  22 Oct 2007, 08:47
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Difficulty:

35% (medium)

Question Stats:

75% (02:23) correct 25% (01:28) wrong based on 16 sessions
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 CEO Joined: 21 Jan 2007 Posts: 2764 Location: New York City Followers: 9 Kudos [?]: 354 [0], given: 4 Re: PS - Algebra [#permalink] 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 Senior Manager Joined: 19 Feb 2007 Posts: 327 Followers: 1 Kudos [?]: 14 [0], given: 0 [#permalink] 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) Senior Manager Joined: 04 Jan 2006 Posts: 280 Followers: 1 Kudos [?]: 20 [0], given: 0 Re: PS - Algebra [#permalink] 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
Senior Manager
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Re: Miles [#permalink]  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]  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 Current Student Status: Nothing comes easy: neither do I want. Joined: 12 Oct 2009 Posts: 2801 Location: Malaysia Concentration: Technology, Entrepreneurship Schools: ISB '15 (M) GMAT 1: 670 Q49 V31 GMAT 2: 710 Q50 V35 Followers: 195 Kudos [?]: 1134 [1] , given: 235 Re: PS [#permalink] 09 May 2010, 12:18 1 This post received 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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Re: m22 #5 [#permalink]  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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