How long it takes one person to catch up to another

Question

jo and Casey warm up for a track meet by running some laps. jo takes 3 minutes per lap while Casey takes 5 minutes to run the same lap. If Casey started running and jo starts a minute later, how long will it take Joe to overtake Casey. 

Answer 1

Hi Katie

Let X = Distance to be covered bt each one

For Jo

X = Speed *time = 3* t  where t = time taken by Jo and t - 1 = time taken by Casey

For Casey

 X = 5* (t-1)

so 3*t = 5* (t-1)

t= 5/2 min