Question 29256
A freight train leaves Kansas and travels due west. A passenger train departs at exactly the same time on a parallel track and travels due east at a speed that is twice the speed of the freight train. After 7 hours the trains are 945 miles apart. How fast is each train traveling?
TRAINS ARE TRAVELLING IN OPPOSITE DIRECTIONS..SO THEIR RELATVE SPEED =SUM OF THEIR INDIVIDUAL SPEEDS
SPEED OF ONE TRAIN IS X MPH....SAY..SECOND TRAIN SPEED =2X..MPH....SO
RELATIVE SPEED =X+2X=3X...MPH
TIME =7 HRS
INTIAL DISTANCE BETWEEN THEM =0
FINAL DOISTANCE BETWEEN THEM =945 MILES
SO DISTANCE CHANGEW =945-0=945 MILES..HENCE
945 =7*3X=21X
X=945/21=45 MPH
SO THE 2 TRAINS TRAVELLED AT 45 AND 90 MPH.