SOLUTION: A car travels 1500 miles at a certian speed. If the speed had been 10 mph faster, the trip could have been made in 5 hours less time. Find the speed

Question 562875: A car travels 1500 miles at a certian speed. If the speed had been 10 mph faster, the trip could have been made in 5 hours less time. Find the speed
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = time for the trip in hours
at speed in mi/hr
given:
(1)
and
(2)
(2)
Substitute (1) into (2)
(2)
(2)
and
(1)
(2)
(2)
(2)
(2)
Use quadratic equation

( I can ignore the (-) root )
The speed is 50 mi/hr
check answer:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK