Two trains started from the same point. At 8:00 am the first train traveled East at the rate of 80 mph. At 9:00 am, the second train traveled West at the rate of 100 mph. At what time were they 530 miles apart?

• consider both the trains at 9 am.at 10 am 180 distance has been travelled by both (excluding the 80 miles which was created b/w 8am and 9 am)
  thus 180 miles in 1 hr so 450 miles in 2.5 hrs (80 miles will be added at the end ) thus 9+2.5= 11.5hr=11 hr 30 minutes
• 11 years agoHelpfull: Yes(2) No(1)
• When the first train has traveled for t hours the second train will have traveled (t - 1) hours since it started 1 hour late. Hence if D1 and D2 are the distances traveled by the two trains, then
  
  D1 = 80 t and D2 = 100 (t - 1)
  
  Since the trains are traveling in opposite direction, the total distance D between the two trains is given by
  
  D = D1 + D2 = 180 t - 100
  
  For D to be 530 miles, we need to have
  
  180 t - 100 = 530
  
  Solve for t
  
  t = 3 hours 30 minutes.
  
  8 am + 3:30 = 11:30 am
• 8 years agoHelpfull: Yes(0) No(0)