Answer: Ken will run 3 laps and Hamid will run 4 laps till they next meet at the start line.
Step-by-step explanation:
Given: It t takes Ken 80 seconds to complete a lap and Hamid 60 seconds to complete a lap .
To find when they, meet we need to find the least common multiple of 80 and 60.
Since [tex]80=4\times20\\60=3\times20[/tex]
Therefore, LCM(60,80)= [tex]4\times3\times20=240[/tex]
Thus they will meet after 240 seconds.
So the number of laps completed by Ken= [tex]\frac{240}{80}=3[/tex]
The number of laps completed by Hamid= [tex]\frac{240}{60}=4[/tex]