My brother and i walk the same route to school every day. my brother takes 40 minutes to get to school and i take 30 minutes. today, my brother left 4 minutes before i did. how long will it take me to catch up with him?

24 minutes.

Step-by-step explanation:

Let D represent the distance from school to home and T represent time.

We have been given that your brother takes 40 minutes to get to school.

You take 30 minutes to get to school.

Your brother left 4 minutes before you did, so distance traveled by him would be:

You speed:

You will catch your brother, when both distances would be same:

Cross multiply:

Use distributive property:

Switch sides:

Therefore, it will take you 24 minutes to catch up your brother.