Problema Solution
Louie drove a distance of 189 miles. Part of the time he averaged 65 miles per hour and for the remaining time, 55 miles per hour. The entire trip took 3 hours. How long did he travel at each rate?
Answer provided by our tutors
Let x, y be the times of 65 miles per hour average, 55 miles per average.
65x+55y=189.
x+y=3.
65x+55(3-x)=189.
65x+165-55x=189.
10x=189-165.
10x=24.
x=24/10
=2.4H.
y=3-2.4
=0.6H.