A race track is in the form of a right triangle. The longer leg of the track is 2 km more than the shorter leg (both the legs being on a highway at right angle to each other). The start and end points are also connected to each other through a side road. The escort vehicle for the race took the side road and rode with a speed of 30 k/h and covered the two intervals along the highway during the same time with a speed of 42 k/h. Find the length of the race track.

1) 14 km
2) 10 km
3) 24 km
4) 36 km
5) 18 km

• The answer is 10.
  The longer leg of the track is 2 km more than the shorter leg
  this means that if the shortest length is x,the next bigger length will be x+2 and the larhest length will be x+4.
  Now since this structure is a right angled triangle
  this lengths (x,x+2,x+4) must follow the pythagoras theorem
  6,8and 10 are one of the pythagoras triplet
  their sum is 24
  
• 7 years agoHelpfull: Yes(0) No(3)
• Pytha triplets, 6 8 10
  race on consist of the legs, so
  6+8= 14
  14 is the answer.
• 7 years agoHelpfull: Yes(0) No(0)