Two motorcyclists, Ajay and Vijay, start simultaneously from a point S on an oval track and drive around the track in the same direction, with speeds of 29 km/hr and 19 km/hr resp. Every time Ajay overtakes Vijay (anywhere on the track), both of them decrease their respective speeds by 1 km/hr. If the length of the track is 1 km, how many times do they meet at the starting point before Vijay comes to rest?

1) 2
2) 3
3) 5
4) 6
5) none of these

• relative speed 10 km/hr
  so thy meet in 6 minutes
  total 3 times
  
• 8 years agoHelpfull: Yes(0) No(5)
• Relative speed will remain constant . ie 10km./hr . So , they meet after every 6minutes. The first time they met , Vijay would travel 1.9 km , Second tie they meet , he travels 1.8 km , since speed decreases by 1km.hr .Now when ever sum of distances travelled is integral multiple of 1 ie it is an integer then they meet at the starting point. Sum in bracket . They meet thrice .
  Answer :3 . Is the answer correct . Where did you find this question . looks pretty hard
  
  1.9+ 1.8(3.7) +1.7(5.4)+1.6(7.0).+1.5(8.5)+1.4(9.9)+1.3(11.2)+1.2(12.4)+1.1(13.5)+1.0(14.5)+0.9(15.4)+0.8(16.2)+0.7(16.9)+0.6(17.5)+0.5(18)+0.4(18.4)+0.3(18.7)+0.2(18.9)+0.1(19.0).....
• 6 years agoHelpfull: Yes(0) No(0)