rational expressions

I’m an amateur long distance runner and I’ve always found it surprising just how long it takes me to catch the slowpokes!

Here is an example: If I run twice as quickly as someone else and I give them a five minute head start, in my mind I expect to catch them in a few minutes. I am running twice as quickly as they are, after all, like a rabbit versus a tortoise! In fact, I will only catch them after running full speed for an additional five minutes.