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A car averages 40 miles per hour for the first 6 hours of a

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Senior Manager
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A car averages 40 miles per hour for the first 6 hours of a [#permalink] New post 14 Mar 2007, 02:05
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

58% (03:18) correct 42% (01:53) wrong based on 97 sessions
A car averages 40 miles per hour for the first 6 hours of a trip and averages 60 miles per hour for each additional hour of travel time. If the average speed for the entire trip is 55 miles per hour, how many hours long is the trip?

A. 8
B. 12
C. 16
D. 18
E. 24
[Reveal] Spoiler: OA

Last edited by Bunuel on 23 Jun 2014, 13:19, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
Director
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Re: A car averages 40 miles per hour for the first 6 hours of a [#permalink] New post 14 Mar 2007, 02:12
(40*6+60*x)/x+6=55
240+60x=55x+330
5x=90
x=18

6+18=24
Senior Manager
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Re: A car averages 40 miles per hour for the first 6 hours of a [#permalink] New post 14 Mar 2007, 02:22
Oh....I don't know how I could not see it!

Somehow I wrote it 240+60x=55+330 :oops: and got it all wrong.....
Senior Manager
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Re: A car averages 40 miles per hour for the first 6 hours of a [#permalink] New post 14 Mar 2007, 02:24
I realized now my mistakes are limited to some silly stuff, solving the Qs correctly but being careless to write all the equations properly.....I must be very vary careful :)
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Re: A car averages 40 miles per hour for the first 6 hours of a [#permalink] New post 23 Jun 2014, 13:00
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Total distance = (40 * 6 + 60 + t)
Total time = (6 + t)
Solving Average speed = Total distance/Total time, for t,
t = 18
Total time = 18 + 6 = 24
Manager
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Re: A car averages 40 miles per hour for the first 6 hours of a [#permalink] New post 23 Jun 2014, 15:41
total distance = rate * time

if total time taken is x, this equation can be written as
40(x-6) + 60(x) = 55x

48+12x-72 = 11x

x = 24

Ans: E
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Re: A car averages 40 miles per hour for the first 6 hours of a [#permalink] New post 23 Jun 2014, 19:50
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Refer diagram below:

Setting up the equation to find "t"

240 + 60(t-6) = 55t

t = 24

Answer = E
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Re: A car averages 40 miles per hour for the first 6 hours of a [#permalink] New post 23 Jun 2014, 22:47
40x6 + 60xt = 55(6 + t)
t = 18
Total time = 18 + 6 = 24
Re: A car averages 40 miles per hour for the first 6 hours of a   [#permalink] 23 Jun 2014, 22:47
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