SOLUTION: The Speed of a B&M freight train is 14 mph slower than the speed of an Amtrak passenger train. The freight train travels 330 mi in the same time it takes the passenger train to tra

Algebra ->  Rational-functions -> SOLUTION: The Speed of a B&M freight train is 14 mph slower than the speed of an Amtrak passenger train. The freight train travels 330 mi in the same time it takes the passenger train to tra      Log On


   

Question 126459This question is from textbook
: The Speed of a B&M freight train is 14 mph slower than the speed of an Amtrak passenger train. The freight train travels 330 mi in the same time it takes the passenger train to travel 400 mi. Find the speed of each train. This question is from textbook

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
400/x=300/(x-14)
400(x-14)=300x
400x-5600=300x
400x-300x=5600
100x=5600
x=5600/100
x=56 mph. for the faster train.
56-14=42 mph. is the speed of the slower train
PROOF:
400/56=300/(56-14)
7.143=300/42
7.143=7.143