A train is to traverse between A &B. If it travels by 50Kmph it got late by 15 min. If it travels by 36 Kmph it got late by 50 min.Find out the speed of the train

• 60 kmph
  
  If speed =s kmph
  and distance =d km
  
  then d/50 = d/s+ 15/60 or d/s= d/50 -1/4
  d/36 = d/s +50/60 or d/s= d/36 -5/6
  d/50 -1/4 = d/36 -5/6
  d/36 -d/50 = 5/6-1/4 = 7/12
  14d = 7*36*50/12=21*50
  d= 21*50/14 = 75 kms
  
  putting value of d in
  d/s= d/50 -1/4
  or 75/s =75/50 -1/4 = 3/2-1/4 =5/4
  s= 75*4/5 = 60 kmph
• 12 years agoHelpfull: Yes(16) No(1)
• let's total time if travelled with the normal speed=t hours
  as in both the cases distance travelled is same.so,
  50*(t+1/4)=36*(t+5/6)
  t=5/4 hours
  so distance travelled=50*(5/4+1/4)=75kms
  now normal speed=distance/t=75/(5/4)=60
  so speed=60kmph
• 12 years agoHelpfull: Yes(13) No(1)
• traverse means travel
• 12 years agoHelpfull: Yes(4) No(0)
• what is called traverse?
  
• 12 years agoHelpfull: Yes(0) No(1)