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Ted goes to work

by Brent@GMATPrepNow » Fri Jan 02, 2009 2:56 pm
Ted always leaves his house at the same time to go to work. If he jogs at an average rate of 16 kilometers per hour, he arrives at work at 8:30 in the morning. If he jogs at an average rate of 8 kilometers per hour, he arrives at 9:15. At what speed must Ted jog to arrive at 9:00?
A) 8 2/3
B) 9 1/3
C) 9 3/5
D) 10 1/3
E) 11 1/5
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by cramya » Fri Jan 02, 2009 3:16 pm
Is it C) 9 3/5
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by cramya » Fri Jan 02, 2009 3:17 pm
let x be the distance

x = 16t

x= 8 *(4t+3) /4

t = 3/4

x=12

let v the speed to needed to reach at 9

v * (3/4+1/2) = 12

v = 9 3/5
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Re: Ted goes to work

by logitech » Fri Jan 02, 2009 3:31 pm
x/8 - x/16 = 3/4 (45 min )

X=12

12/16 = 3/4 (45 mins) , so he leaves home at 7:45

to be at work at 9:00 ( 5/4 hrs)

12 = 5/4 x V

V = 48/5
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by Brent@GMATPrepNow » Fri Jan 02, 2009 3:33 pm
Nice - the answer is C
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