SOLUTION: Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 miles and one train goes 20 miles faster than the oth

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 miles and one train goes 20 miles faster than the oth      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1033376: Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 miles and one train goes 20 miles faster than the other, find the speed of the faster train.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
if the distance between them is 300 miles,
they have traveled 200 miles combined distance
Let their speeds be +s+ mi/hr for slower train and
+s+%2B+20+ mi/hr for the faster train
You are given that:
+200+%2F+%28+s+%2B+s+%2B+20+%29+=+2+
+200+=+2%2A%28+2s+%2B+20+%29+
+4s+%2B+40+=+200+
+4s+=+160+
+s+=+40+
and
+s+%2B+20+=+60+
The faster train's speed is 60 mi/hr