SOLUTION: Per, Paul, and Mary are starting at the same time walking around a circular track in the same direction. Peter takes 1/2 hr to walk around the track. Paul takes 5/12 hour and Mary
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Question 963617: Per, Paul, and Mary are starting at the same time walking around a circular track in the same direction. Peter takes 1/2 hr to walk around the track. Paul takes 5/12 hour and Mary takes 1/3 hour. How many times will each person go around the track before all three meet again at the startling line?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Per, Paul, and Mary are starting at the same time walking around a circular track in the same direction.
Peter takes 1/2 hr to walk around the track.
Paul takes 5/12 hour and
Mary takes 1/3 hour.
How many times will each person go around the track before all three meet again at the startling line?
;
Let's convert this to minutes, get rid of those annoying fractions!
:
Peter: 30 min
Paul: 25 min
Mary: 20 min
:
Find the least common multiple using prime factoring
30: 2*3*5
25: 5 * 5
20: 2*2*5
LCM: 2*2*3*5*5 = 300 min, all at the starting line again
then
Peter: 300/30 = 10 times
Paul: 300/25 = 12 time
Mary: 300/20 = 15 times
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