SOLUTION: Imogene's car traveled 576 mi averaging a certain speed. If the car had gone 8 mph faster the trip would have taken 1 hour less. Find the average speed.

Question 316082: Imogene's car traveled 576 mi averaging a certain speed. If the car had gone 8 mph faster the trip would have taken 1 hour less. Find the average speed.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The average speed is (total distance)/(total time)
Let = her average speed speed
Let = the time for the trip
given:

By substitution:

Substituting again:

Using quadratic formula:

(ignore the negative root)

And, since

Her average speed for the trip is 64 mi/hr

RELATED QUESTIONS
Car traveled 504 mi averaging a certain speed. If the car had gone 7 mph faster, the trip (answered by lmeeks54)

Imogene's car traveled 210 mi averaging a certain speer. If the car had gone 5mph faster, (answered by stanbon)

Imogene's car traveled 420 mi averaging a certain speed. If the car had gone 10 mph... (answered by josgarithmetic,MathTherapy)

Imogene's car traveled 360 mi averaging a certain speed. If the car had gone 5 mph... (answered by ikleyn)

car traveled 432miles averaging a certain speed. If the car had gone 6 mph faster, the... (answered by josmiceli,josgarithmetic)

Imogene's car traveled 770 mi averaging a certain speed. If the car has gone 7 mph... (answered by josmiceli)

Imogene's car traveled 660 mi averaging a certain speed. If the car had gone 6 mph... (answered by ikleyn)

Gene's car traveled 210 miles averaging a certain speed. If the car had gone 5 mph... (answered by mananth)

Imogene's car traveled 624 miles averaging a Certain speed. If the car had gone 4 mph... (answered by josmiceli)