On return from a business trip Mr. Chidambaram was to be picked up from the railway station by
his coachman. Someone he managed a train connection earlier and thus arrived two hours too early.
Immediately on arrived he rang up home for the coach and was told that it had just left in order to be
exactly in time for the train by which he was scheduled to come. To save the time he started walking
homeward at 3kmph. On the way he met the coachman who brought him home an hour before
schedule. How far is the Mr. Chidambaram’s house from the railway station?
a) 12 Km
b) 15 Km
c) 18 Km
d) 23 Km

• Let the distance between Station and House be x km.
  From the Problem--
  Total time taken by the Coach to recieve Chidambaram from Station and reach home
  is 4 hours.
  However it says he finished the work in 1 hours less which means he took a total of 3 hours.
  This means when the Coach travelled for 1.5 hours he met Chidambaram and it took him another 1.5 hours to travel the distance back.
  Originally,
  Speed of Coach= 2x/4
  However in 1.5 hours taken by the coach,
  Distance travelled by Mr.CH= 3x1.5=4.5km
  Thus,
  Equating as per the Coach,
  x-4.5=(2x/4)x(3)
  On solving,
  x=18km. Ans c.
• 13 years agoHelpfull: Yes(12) No(19)
• Let the train's correct time is 9.00 am. Now chidambaram reached the station at 7 am and he was informed that the coachman (car) left at 7 am. So car takes 2 hours to reach the station. This car expected to reach home at 11 am.
  But the car after picking up chidambaram, reached home 1 hour early. i.e., 10 am. So car has travelled 3 hours and 1.5 hours towards the station. So it picked him up at 8.30 am. Car saved distance equivalent to 30 minutes. but this distance is covered by Chidambaram by walk. He took 1.5 hours to cover this distance.
  So Car speed is 3 times that of his walking speed. Car speed = 3 × 3 = 9 km.
  We know that car takes 2 hours to reach station. So the distance = 9 × 2 = 18 km.
  
• 9 years agoHelpfull: Yes(1) No(0)
• Question is missing with some basic information, with out that information we have to assume and solve the answer and it is not going to justify
• 7 years agoHelpfull: Yes(0) No(2)