SOLUTION: An express train travels 90 kilometers per hour from smallville to megatown. A local train takes 2.5 hours longer to travel thensame distance at 50 kilometers per hour. how far ap

Algebra ->  Average -> SOLUTION: An express train travels 90 kilometers per hour from smallville to megatown. A local train takes 2.5 hours longer to travel thensame distance at 50 kilometers per hour. how far ap      Log On


   

Question 116730This question is from textbook algebra1
: An express train travels 90 kilometers per hour from smallville to megatown. A local train takes 2.5 hours longer to travel thensame distance at 50 kilometers per hour. how far apart are Smallville and Megatowm This question is from textbook algebra1

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
DISTANCE=RATE*TIME.
SEEING AS THE DISTANCES ARE THE SAME WE HAVE THE FOLLOWING EQUATION.
90t=50(t+2.5)
90T=50T+125
90T-50T=125
40T=125
T=125/40
T=3.125 HOURS FOR THE FASTER TRAIN.
PROOF:
90*3.125=50(3.125+2.5)
281.25=50(5.625)
281.25=281.25 THIS IS THE DISTANCE IN KM BETWEEN SMALLVILLE & MEGATOWN.