Claire is cycling at a speed of 12 miles per hour. Han is cycling at a speed of 8 miles per hour. If they start at the same position, chosen at zero, and bike in straight opposite directions, what will the distance between them be after 45 minutes?

45 minutes is 3/4 of an hour, so find 3/4 of 12.  

Divide 12 by 4 to get 1/4 of 12. That is 3.  

3/4 is 3 of those, so multiply it by 3 to get 9.

So, she will have biked 9 miles.  

180 miles.

Step-by-step explanation:

First, we have to find out how far Claire is after 45 minutes:

12 x 45 = 540

Now, we need to find out how far Han is after 45 minutes:

8 x 45 = 360

Lastly, we need to subtract how far Claire went by how far Han went:

540 - 360 = 180

Final

The distance between Claire and Han after 45 minutes will be 180 miles.

Hope this helped! Have a nice day!