SOLUTION: Walking beside you, your friend takes 50 strides per minute while you take 48 strides per minute. If you start in step, when will you be in step again?

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Question 303234: Walking beside you, your friend takes 50 strides per minute while you take 48 strides per minute. If you start in step, when will you be in step again?
Found 2 solutions by Fombitz, ankor@dixie-net.com:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
50=2%2A5%2A5=2%5E1%2A5%5E2
48=2%2A2%2A2%2A2%2A3=2%5E4%2A3%5E1
Take the greatest exponent for each factor.
Include 2,3, and 5.
N=2%5E4%2A3%5E1%2A5%5E2=1200

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Walking beside you, your friend takes 50 strides per minute while you take 48 strides per minute.
If you start in step, when will you be in step again?
:
Let m = no. of minutes to be in step
50(m-1) = 48m
50m - 50 = 48m
50m - 48m = 50
2m = 50
m = 25 minutes
:
therefore in 25 min you will be in step because:
your friend has completed 25*50 = 1250 steps
while you have completed 25*48 = 1200 steps