Problema Solution
Salem and vernonvill are 176 miles apart. A car leaves Salem heading towards vernonville and the other car leaves vernonville at the same time heading towards Salem. the car leaveing Salem averages 10 miles per hour more than the other and they meet after 1 hour and 36 minutes. What are the average speed of the cars?
Answer provided by our tutors
let
x = the speed of the car that is heading towards Vernonvill
y = the speed of the car heading towards Salem
t = 1 hour 36 min = 1 36/60 min = 1.6 hours is the time of traveling
x = y + 20
1.6*x + 1.6*y = 176
by solving this system of equations we find
x = 65 mph
y = 45 mph
the average speeds of the cars are 65 mph and 45 mph.