Three runners Abhishek, Vijay and Sashi start running from point A at equal speeds along the rectangle ABCDA, the semicircle AGDA and equilateral triangle AED shown above. If F is the midpoint of AD and G is the point where BC is tangent to the semicircle. Find the position of Vijay when Abhishek and Sashi meet for the first time?

1) Between A and G
2) Between G and D
3) Between F and D
4) Between F and A

• answer for this problem is between F and D.
  because sides of rectangle are a and 2a.
  and radius of semicircle is a
  and sides of equilateral triangle is 2a.
  so when abhishek and sashi meets then they have walked 4a distance so in this time vijay has also walked 4a distance.so pi*2 is the length of semicircle.
  so when vijay travels 0.86a distance then he has also walked 4a distance.
  
• 11 years agoHelpfull: Yes(1) No(0)