Problema Solution
Imogene's car traveled 550 miles averaging a certain speed. If the car had gone 5 mph faster, the trip would have taken 1 hour less. Find the average speed.
Answer provided by our tutors
let average speed be x mph
550/x = (550/x+5)+1
550/x = 550+x+5/(x+5)
550x+ 2750 = 550x+x^2+5x
x^2 +5x-2750 = 0
(x+55)(x-50) = 0
x = 50 ,-55
average speed = 50 mph