A man travels with constant speed. while going he saw a milestone with 2 digit number.after 1 hr he saw a mile stone with the same digits in reverse. after 1 hr he saw a mile stone with same digits which are in 1st mile stone and 0 came in middle i.e. 3didits with 0 in middle. then what is the speed of his?

• let the first number be xy
  ,second be yx and third be x0y
  person s walking with constant speed thatsy in every 1 hour he will cover equal distance
  we can write two digit num. xy as 10x+y
  likewise yx as 10*y+x and x0y as 100*x+y
  now because distance covered in every hour is equal thatsy
  10y+x-10x-y=100x+y-10y-x
  6x=y
  as per question only 1 combination can work out here that is x=1,y=6
  first num. is 16
  second 61 third 106
  we can see that difference between every num. is 45.
  hence person is travelling at 45miles per hour.
  thanks
• 10 years agoHelpfull: Yes(4) No(0)
• 16,61,106
  Considering a constant speed we can find the 3 numbers with equal difference
  As last number has '0' in middle,then it may be between 101 to 109
  So verifying the numbers for equal difference from 11 to 19,we get the numbers 16,61,106
• 10 years agoHelpfull: Yes(3) No(0)
• the last milestone is one of these 101,102,103,104,105,106,107,108,109
  therefore we have 11,12,13,14,15,16,17,18,19 in first milestone and 11,21,31,41,51,61,71,81,91 in second milestone
  here we can get the three milestones which are having equal differences because the speed is constant.
  so answer is 16, 61, 106
• 10 years agoHelpfull: Yes(1) No(0)
• milestone 2 digit 16 after 1 hr we saw same digit as 61 after 1 hr he saw 106 as 3 digits, so his speed is 45 km/hr. explaination is that difference of 61-16=45 and similarly 106-61=45 so this implies he mentioned as constant speed.
• 10 years agoHelpfull: Yes(0) No(0)