Question

A man drove 48 more miles an hour than the number of hours he drove. if he drove 208 miles in all, how many hours did he drive? What was his rate?

Answer 1

if he drove x hours, his speed was x+48

distance = speed * time, so

(x+48)(x) = 208
x^2 + 48x - 208 = 0
(x-4)(x+52)
x=4

so, he drove 52 mph for 4 hours