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from Alba to Bento

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by sanju09 » Mon Apr 06, 2009 5:15 am
On his trip from Alba to Bento, Julio drove the first x miles at an average rate of 50 miles per hour and the remaining distance at an average rate of 60 miles per hour, how long did it take Julio to drive the x miles?
(1) On this trip, Julio drove for a total of 10 hours and drove a total of 530 miles
(2) On this trip, it took Julio 4 more hour to drive the first x miles than to drive the remaining distance.
The mind is everything. What you think you become. -Lord Buddha



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Source: — Data Sufficiency |
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by sacx » Mon Apr 06, 2009 6:14 am
Stmt I

S = D/T
for first x miles

50 = x/T1
T1 = x/50

for the remainder of the distance (530 -x)

60 = (530-x)/ T2
T2 = (530-x)/60

T1+T2 = 10

x/50 + (530-x)/60 = 10

we can solve the equation for x and find the time it took Julio to drive first x miles

sufficient

Stmt II

Assume total distance = D
let time taken to travel first x miles = T1
therefore, time taken for rest of the distance (D-x) = T2-4

50 = x/T1
T1 = x/50

60 = (D-x)/T2-4
60T2-240 = D-x
T2 = (D-x+240)/60

T1 + T2 = 10

x/50 + (D-x+240)/60 = 10

we have got two variables and one euation, so cannot find out the time to travel first x miles

[spoiler]Insufficient

A[/spoiler]
SACX
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by mike22629 » Tue Apr 07, 2009 8:35 am
I think its D.

Whats the answer?
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by sanju09 » Wed Apr 08, 2009 2:39 am
mike22629 wrote:I think its D.

Whats the answer?
(1) x/50 + (530 - x)/60=10, so, x can be solve out and x/50 will be the answer.

(2) The time cost on two distances could be 5h, 1h; 6h, 2h;... insufficient.

Answer is A
The mind is everything. What you think you become. -Lord Buddha



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