SOLUTION: a small plane leaves the airport at the same time a train leaves the same location. the plane flies 120 mph faster than the train. two hours after their departure the train and pla

Algebra.Com
Question 675643: a small plane leaves the airport at the same time a train leaves the same location. the plane flies 120 mph faster than the train. two hours after their departure the train and plane are 420 miles apart. find the speed of each and show the equation.
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a small plane leaves the airport at the same time a train leaves the same location. the plane flies 120 mph faster than the train. two hours after their departure the train and plane are 420 miles apart. find the speed of each and show the equation.
---------------------
Train DATA:
rate = x mph ; time = 2 hrs ; distance = 2x miles
-----
Plane DATA:
rate = x+120 mph ; time = 2 hrs ; distance 2x+240 miles
-----------
Equation:
distance + distance = 420 miles
2x + 2x+240 = 420
4x = 180
x = 45 mph (train rate)
---
x+120 = 165 mph (plane rate)
================================
cheers,
Stan H.
===========================

RELATED QUESTIONS

Marty leaves the airport in his private plane and flies due east at 186 mph. Two hours... (answered by checkley71)
Marty leaves the airport in his private plane and flies due east at 186 mph. Two hours... (answered by stanbon)
A plane leaves an airport at 3pm. At 4pm another plane leaves the same airport traveling (answered by richwmiller)
A plane leaves an airport at 2 P.M. At 3 P.M., another plane leaves the same airport... (answered by josmiceli)
A plane leaves an airport at 3 P.M. At 4 P.M., another plane leaves the same airport... (answered by mananth)
A private airplane leaves an airport and flies due south at 192 mph. Two hours later, a... (answered by mananth)
A private airplane leaves an airport and flies due south at 192 mph. Two hours later, a (answered by ewatrrr)
A plane leaves an airport flying north at 800 km/h. At the same time another plane leaves (answered by JulietG)
A plane leaves an airport flying north at 800km/h. At the same time another plane leaves... (answered by Boreal)