Question

I need to know how to write this word problem in an algebraic expression with answer at 8 a.m. to automobile started from the same place one traveled North at the rate of 49 miles per hour and the other traveled south at the rate of 56 miles per hour at what time were the automobiles 420 miles apart

Answer 1

Let time is t

since they both went in opposite directions then the distance between them is the sum of the distance between each of them and the origin point

49t + 56t =420  is the equation

to solve: 105t = 420 , t = 4 hours