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percentages + distance

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by Woozler » Mon Dec 13, 2010 10:27 am
During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 mph, and his average speed for the remainder of the trip was 60 mph. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 mph for the entire trip?

A 8.5%
B 50%
C x/12 %
D 60/x %
E 500/x %

This can be solved by plugging and chugging, but I cannot figure out the algebraic solution to this.
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by towerSpider » Mon Dec 13, 2010 11:56 am
Woozler wrote:During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 mph, and his average speed for the remainder of the trip was 60 mph. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 mph for the entire trip?

A 8.5%
B 50%
C x/12 %
D 60/x %
E 500/x %

This can be solved by plugging and chugging, but I cannot figure out the algebraic solution to this.
entire at 60 mph: x/60
entire otherwise: 5/30+(x-5)/60, 1/6+(x-5)/60, (10+(x-5))/60, (10+x-5)/60, (5+x)/60

(5+x)/60 - x/60
5/60
1/12

1/12 / x/60 * 100
1/12 * 60/x * 100

6000/12x
500/x%

E is answer.
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by Woozler » Mon Dec 13, 2010 8:04 pm
I cannot even do basic algebra, yet I still scored 49 (initially) on GMAT prep 2. Do other people even study?

Thank you very much.
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by frank1 » Tue Dec 14, 2010 1:12 am
Woozler wrote:I cannot even do basic algebra, yet I still scored 49 (initially) on GMAT prep 2. Do other people even study?

Thank you very much.
and that is one thing i dont understand....
and i can do most of the things and have taken more than thousand of question from different sources and still the prep test score doesnt go higher than 46-47....

i really dont understand the thing....
many people are saying they are scoring more than 700 with out much hussle....

dont know whats wrong.....
GMAT score is equally counted as your GPA and 78 clicks can change you life.
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by diebeatsthegmat » Tue Dec 14, 2010 11:37 am
Woozler wrote:During a trip on an expressway, Don drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 mph, and his average speed for the remainder of the trip was 60 mph. His travel time for the x-mile trip was what percent greater than it would have been if he had traveled at a constant rate of 60 mph for the entire trip?

A 8.5%
B 50%
C x/12 %
D 60/x %
E 500/x %

This can be solved by plugging and chugging, but I cannot figure out the algebraic solution to this.
you just solve it as normal.

D1=5 so D2=x-5
t1=5/30=10/60
t2=(x-5)/60
T=t1+t2=(x+5)/60 and the total time for the whole trip it takes for 60 kmh is x/60
so the percent of time is (x/60+5/60 -x/60)/x/60=5/60*60/x*100%=E
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