Races problem #1

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Races problem #1

by papgust » Fri Sep 18, 2009 7:51 pm
"A can give B a start of 20 seconds in a km race. B can give a start of 30 seconds in the same race. If A can give a start of 200m in the race, how long will A take to run the km?"

Can someone give a good approach to this prob?
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by KapTeacherEli » Fri Sep 18, 2009 8:47 pm
I'm afraid I'm not parsing this problem well--are you summarizing it? If so, can you post the original question?
Eli Meyer
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by papgust » Sat Sep 19, 2009 2:42 am
Hi Eli,

This is the original qn. I have not missed a single word..

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by real2008 » Sat Sep 19, 2009 8:03 am
please mention the source of question...

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by papgust » Sun Sep 20, 2009 4:34 am
Hi,

I got this kind of a problem from one of my friends who is preparing for CAT.

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by vidyadhar » Mon Sep 21, 2009 7:04 am
if Va, Vb are speeds of A and B. And t is the time for A to complete the Km race.

Vb (t + 20) = Va*t

Vb(t-30)+ 200= Va*t.

Solving above 2 eqns for Vb, we get Vb= 4 m/s

Since it is a km race (1 Km).
Vb(t + 20) =1000 m = 4 (t + 20) => t=230 s

so the time for A to complete a km is 230 Seconds.

Not sure if it is the best/correct approach.