Ben has Type 180 word in can type 30 words per minute. Millie has Type 60 words and can type 50 word per minute. How many minutes will it take Millie to catch up with Ben?

How many words they have already typed is their starting / y intercept. Their words per minute is their rate. We need their equations to equal themselves so we can find when they are the same. X will be the amount of minutes and we need X by itself.

180+30x=60+50x

Now let’s subtract 60 from each side.

120+30x=50x

Let’s subtract 30x from each side.

120=20x

Let’s divide each side by 20.

6=x

It will take 6 minutes for Millie to catch up with Ben.

6 minutes.

If x = minutes,

180+30x=60+50x

120=20x

6=x