Problema Solution
Two trucks leaving warehouse at the same time one travels due east a an average speed of 55 miles per hour and the other travel to West at an average speed of 47 miles per hour after how many hours will the trucks be 714 miles apart
Answer provided by our tutors
let
v1 = 55 mph the speed of the first truck
v2 = 47 mph the speed of the second truck
d = 714 mi the total distance traveled
t = the time of the travel
since speed = distance/time => distance = time*speed
the trucks travel in opposite directions thus the sum of their distances traveled is equal to the distance between them:
v1*t + v2*t = d
55t + 47t = 714
by solving we find:
t = 7 hr
click here to see the step by step solution of the equations:
after 7 hours the trucks will be 714 miles apart.