43.Two trains are travelling in opposite directions at uniforms speeds of 60 kmph and 50 kmph.They

take 5 seconds to cross each other.If the two trains travelled in the same directions.then a passenger

sitting in the faster moving train would have overtaken the other than in 18 seconds.what are the

lengths of the trains?

• 102.77 m. & 50 m.
  
  Let the length of the faster moving train be x m and slower moving be y m and their speed be 60 kmph and 50 kmph.
  60 kmph=60*(5/18)=50/3 m/s and 50*(5/18)=125/9 m/s
  
  Relative speed in opposite direction=50/3 + 125/9 = 275/9 m/s and
  Relative speed in same direction=50/3 - 125/9 = 25/9
  
  Time taken to cross in the opposite direction=(x+y)/(275/9)= 5 sec.
  => x + y= 1375/9 ---(i)
  Time taken by faster train to cross the length of slower train in same direction=y/(25/9)=18
  => y=50 m.
  Substituting value of y in (i), we get x= 925/9 =102.77 m.
• 7 years agoHelpfull: Yes(10) No(2)