Question

Mary lives 1365 miles from Brady. Brady drives at a constant rate of 60 mph and Mary travels at a constant rate of 45 mph. If they start driving toward each other at the same time on the same road, how many hours will it take them to meet?

Answer 1

Let X be the number of hours

Brady drives 60 mph for X number of hours, which is written as 60x.

Mary drives 45 mph for x number of hours, which is written as 45x.

The equation to solve for the number of hours is:

60x + 45x = 1365

Simplify:

105x = 1365

Divide both sides by 105:

x = 1365 / 105

x = 13 hours.