The distance traveled ( D ) while driving at a constant speed varies directly with the number of hours ( t ) spent driving. If the distance driven is 225 miles in 4.5 hours find how hours it takes to travel 325 miles.
A) 5.5 hours
B) 6.5 hours
C) 7.5 hours

Question

Quizplus · Accepted Answer

The relationship between distance and time is given by D = rt, where r is the rate of speed. Given D1 = 225 miles in t1 = 4.5 hours, we find r = D1/t1 = 225/4.5 = 50 miles/hour. To find the time (t2) to travel D2 = 325 miles at the same rate, we use t2 = D2/r = 325/50 = 6.5 hours.

The Distance Traveled ( D ) While Driving at a Constant