SOLUTION: A train runs x miles an hour and an automobile (x-y) miles an hour. How much longer will it take the automobile to run s miles than the train? note. this is from an Algebraic Re

Algebra ->  Expressions -> SOLUTION: A train runs x miles an hour and an automobile (x-y) miles an hour. How much longer will it take the automobile to run s miles than the train? note. this is from an Algebraic Re      Log On


   



Question 572447: A train runs x miles an hour and an automobile (x-y) miles an hour. How much longer will it take the automobile to run s miles than the train?
note. this is from an Algebraic Representation Exercises Algebra I High School 10th Grade

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Equation for train:
(1) +s+=+x%2At%5B1%5D+
Equation for car:
(2) +s+=+%28+x+-+y+%29%2A+t%5B2%5D+
--------------------
(1) +t%5B1%5D+=+s%2Fx+
and
(2) +t%5B2%5D+=+s%2F%28+x+-+y+%29+
+t%5B2%5D+-+t%5B1%5D+=+s%2F%28+x+-+y+%29+-+s%2Fx+
+t%5B2%5D+-+t%5B1%5D+=+s%2A%28+1%2F%28x-y%29+-+1%2Fx+%29+