The speed of a passenger train is 18 mph faster than the speed of a freight train. The passenger train travels 270 miles in the same time it takes the freight train to travel 180 mph. What is the speed of the passenger train?
Mathematics · Middle School · Mon Jan 18 2021
llm
Answered on
speed of p=x
speed of f=x-18
speed*time=distance
Therefore, time=distance/speed
270/x=180/(x-18)
270x-4860=180x by cross-multiplying
90x=4860
x=54 mph Passenger
x-18=38 mph Freight
to go 280 miles at 56 mph=5 hours
to go 190 miles at 38 mph=5 hours