Problema Solution
Two buses leave Charlotte at the same time traveling in opposite directions. One bus travels at 54 mph and the other at 60mph. How soon will they be 627 miles apart?
Answer provided by our tutors
let
v1 = 54 mph the average speed of the first bus
v2 = 60 mph the average speed of the second bus
d = 627 mi the total distance between them
t = the time of the travel
since speed = distance/time we have distance = speed*time
the buses travel in opposite directions thus the sum of the their distances passed is equal to the distance between them:
v1t + v2t = d
54t + 60t = 627
by solving we find:
t = 5.5 hr
click here to see the step by step solution of the system of equations:
after 5.5 hours the buses will be 627 miles apart.