A yamaha and honda were riding together on a road at a constant speed of v km/hr .in betweeb yamaha stopped for T minutes . The honda continued to travel with the same speed .Yamaha resumed to travel with speed of Y km/hr. It caught up honda after v minutes of resuming the ride.
The maximum speed the either bike can take is 130 km/hr.
Given that v is a prime no. whose square root is greater than 7.
What is the maximum duration of yamaha.
assume that the time for yamaha to slow down and spped up was instantaneous.

• question is unclear.
• 7 years agoHelpfull: Yes(3) No(0)
• distance travelled is same when both meet
  
  honda travelled for T + v minutes
  
  but yamaha travelled only during v minutes
  
  Y . v = v . T + v . v
  ==> T = Y - v
  T = 130 - v
  prime number with square root greater than 7 is 53, 59, 61...
  T = 77 is max when v = 53
• 7 years agoHelpfull: Yes(3) No(0)
• Y mins
  for T relaxation time honda travelled T*v
  for yamaha to cath upto honda it needs to travell a distance of v*Y
  equate them as now they are in the same distance for a value of v=51
  and get T=Y.
• 7 years agoHelpfull: Yes(0) No(0)
• question is not clear even there is point to start the question
• 6 years agoHelpfull: Yes(0) No(0)
• a prime no whose square root is greater than 7. ? is that possible ?
• 5 years agoHelpfull: Yes(0) No(0)