Problema Solution
Two cars travel from city A and city B. Car 1 travels at 50 mph and takes 2 hours longer to cover the distance between the cities than car 2 which travels at 60 mph. How long does it take car 1 to drive from city A to city B?
Answer provided by our tutors
let
v1 = 50 mph the average speed of car 1
t1 = the time of car 1
v2 = 60 mph the average speed of car 2
t2 = the time of car 2
Car 1 travels at 50 mph and takes 2 hours longer to cover the distance between the cities than car 2:
t1 = t2 + 2
since speed = distance/time follows distance = speed*time:
v1t1 = v2t2
50t1 = 60t2 divide both sides by 10
5t1 = 6t2
by solving the system of equations:
t1 = t2 + 2
5t1 = 6t2
we find:
t1 = 12 hr
click here to see the step by step solution of the system of eqautions:
it takes 12 hours for car 1 to travel from city A to city B.