SOLUTION: By increasing the average speed of motorista by 10 miles per hour he would have save 36 minutes in traveling a distance of 120 miles. Find the average speed.

Algebra.Com
Question 1042121: By increasing the average speed of motorista by 10 miles per hour he would have save 36 minutes in traveling a distance of 120 miles. Find the average speed.
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
By increasing the average speed of motorists by 10 miles per hour he would have saved 36 minutes in traveling a distance of 120 miles. Find the average speed.
-----
Original DATA:
distance = 120 miles ; rate = r mph ; time = 120/r hrs
------
Faster travel DATA:
dist = 120 ; rate = r + 10 mph ; time = 120/(r+10) hrs
-------
Equation:
time - time = (36/60) hrs
120/r - 120/(r+10) = 36/60
---------
60(r+10)*120 - 60r*120 = 36r(r+10)
--------------------------------------------
60*10*120 = 36r^2 + 360r
-------------------------------
10*10*20 = r^2 + 10r
----
r^2 + 10r - 2000 = 0
------------
r = 44.6 mph
----------------
Cheers,
Stan H.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

By increasing the average speed of motorista by 10 miles per hour he would have save 36 minutes in traveling a distance of 120 miles. Find the average speed.
Average speed:  

RELATED QUESTIONS

By increasing his average speed by 10 mi/hr, a motorist could save 36 minutes in... (answered by jorel1380)
A pilot flies a distance of 600 miles. He could fly the same distance 24 minutes less... (answered by ankor@dixie-net.com)
A motorist travels a distance of 120 miles. Had she increased her average speed by 10... (answered by mananth,MathTherapy)
Please help me solve this problem: Mr.Tan makes monthly visits to his parents in Baguio,... (answered by ankor@dixie-net.com)
If someone is going 76 miles an hour in a 55 miles per hour speed zone, how much time... (answered by Alan3354)
A pilot flies a distance of 600 km. He could fly the same distance in 30 minutes less... (answered by Alan3354)
A person drives 390 miles on a stretch of road. Half the distance is driven traveling 5... (answered by mananth)
A person drives 390 miles on a stretch of road. Half the distance is driven traveling 5 (answered by mananth,josmiceli)
The Express bus travel travels at an average speed of 40 miles per hour and the local bus (answered by macston)