Question

Two cars depart an intersection.

One goes north.
The other goes west.
Each car travels at a constant speed of 30 miles per hour.
Assuming the roads go on forever, what will be the distance between the cars after 1 hours and 30 minutes in miles?

Answer 1

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Explanation:

This question can be solved using the Pythagorean Theorem.

Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.

The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So

`d^2 = 45^2 + 45^2`

`d = √(45^2 + 45^2)`

`d = 63.64`

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.