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?
answer 12 minutes.(the LCM)
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.
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 .
"Pierre can ride
once around the track "
He will never catch him, it's only a one lap race.
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