Question

A dog runs 9.5 mi in 0.5 h. The distance the dog travels varies directly with the amount of time it runs.

How many miles will it run in 1.75 h?

mi

Answer 1

`9.5\ miles\ in\ 0.5h\\ x\ miles\ in\ 1.75h\\\\ proportion:\\ 9.5-0.5\\ x-1.75\\\\ cross\ multiplication\\\\ 9.5*1.75=0.5x\\\\ 16,625=0.5x\ \ \ | divide\ by\ 0.5\\\\ x=33.25miles\\\\ It\ will \ run\ 33.25\ miles.`

Answer 2

We divide 9.5 / 0.5 to see how much it runs in 1 hour.

9.5 / 0.5 = 19

So it runs 19 miles in 1 hour.

Now we multiply 1.75 to 19 miles.

1.75 * 19 = 33.25

So he will run 33.25 miles in 1.75 hours.