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Can any1 help?

 
 
Reply Fri 3 Mar, 2006 05:41 am
Does any1 know the answer to this.

Two cyclists are racing around a circular track. Pierre can ride
once around the track in 6 minutes. Louis takes 4 minutes. How many
minutes will it take for Louis to lap Pierre?
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Type: Discussion • Score: 1 • Views: 854 • Replies: 5
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fresco
 
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Reply Fri 3 Mar, 2006 06:38 am
answer 12 minutes.(the LCM)
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markr
 
  1  
Reply Fri 3 Mar, 2006 10:49 am
Let's make a slight modification:

Pierre can ride once around the track in 5 minutes.
Louis takes 3 minutes.
How many minutes will it take for Louis to lap Pierre?

Hint: It's not the LCM.
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fresco
 
  1  
Reply Fri 3 Mar, 2006 11:02 am
makr, Yes LCM could be a coincidence (I was thinking of bell intervals)

Okay choose a track 30 units long (say).

First speed is 6 units per min, second is 10 units per min. Difference is 4 units per min relative (closing speed assuming first remains stationary)

Second laps first in 30/4 = 7.5 minutes .
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Tryagain
 
  1  
Reply Fri 3 Mar, 2006 02:28 pm
"Pierre can ride once around the track "


He will never catch him, it's only a one lap race. Laughing
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markr
 
  1  
Reply Fri 3 Mar, 2006 03:46 pm
Yep.

If x and y (x < y) are the times per lap, then the faster rider will lap the slower rider in
xy/(y-x) minutes
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