Question

A car traveled 687.5 miles in 12.5 hour at a constant rate. If distance is determined by the equation d=rt where r, is the constant rate in miles per hour, how far will the car travel in 16 hours?

Answer 1

Over the span of 16 hours, a car traveling at the constant rate of 687.5 miles per 12.5 hours will travel 880 miles.

Explanation:

A car is traveling at 687.5 miles / 12.5 hours

Let's reduce this to miles per hour by reducing the fraction

687.5 / 12.5 = 55

The car is traveling at a constant rate of 55 miles/hour.

Giving that distance d = r (miles/hour)*t (hours), and

r = 55 miles/hour and t = 16 hours

In this case we can solve for distance as

d = (55 miles/hour) * 16 hours

Our hours term will cancel, and we are left with

d = 55 miles * 16

d = 880 miles

Therefore, over the span of 16 hours, a car traveling at the constant rate of 687.5 miles / 12.5 hours will travel 880 miles.