Two trains at speed 60 km/hr comes in the opposite direction. At a particular time the distance between the two trains is 18km. A shuttle flies between the trains at the speed of 80 km/hr. At the time the two trains crashes what is the distance traveled by shuttle?

• Distance traveled by shuttle is 12kms.
  
  Here the realative speed is 60+60 = 120kms/hr….
  The distance between them was 18kms, when the shuttle begins
  to fly in between them…..
  To cover 18 kms with a relative velocity of 120 kms/hr, the
  time would be 18/120, ie,=3/20
  so shuttle can fly = ((3/20)*80) kms, before the two trains
  crashes,
  so the answer is 12 kms…
• 12 years agoHelpfull: Yes(13) No(0)
• At a particular instance of time, the distance between two trains is 18 kms, so, for the two trains to collide, each train will travel 18/2 = 9 kms. since the speed of each train is 60 km/hr .i.e, one kilometer per minute, so both trains take 9 minutes to make the collision happen.
  Therefore we now need to calculate the distance travelled by the shuttle in 9 minutes. Shuttle speed =80 km/hr
  80 km ........60 min
  ? ................. 9 min .............Answer = (80*9)/60 =12 kms.
  Please correct me if I am wrong.
• 7 years agoHelpfull: Yes(1) No(0)