24 views

Consider a Circle with 100 points numbered 1,2,3,4,…..,99,100. Now their is a tortoise at point numbered 1 and a hare at point numbered 2 and both can only move in clockwise direction only on numbered points. Tortoise can move one point at time for eg :- from 1 to 2,from 2 to 3 and so on and hare can move two points at a time for eg :- from 2 to 4 , from 4 to 6 and so on.They start moving and move at the same time i.e, when tortoise moves from 1 to 2, then hare also moves from 2 to 4. They continue to move like this until they meet at some point. Now find the point at which they meet or if they cannot meet at some point tell why??

| 24 views
0
After 50 steps where will be those two stand?
0
Tortoise will be at point 50 and hare will be at point 100

+1 vote
Given that T at 1 and move by 1 step, H at 2 and move by 2 steps at a time

After 49 steps, T at 50, H at 100

After 25 steps, T at 75, H at 50

After 13 steps, T at 88, H at 76

After 7 steps, T at 95, H at 90

After 4 steps, T at 99, H at 98

After 1 steps, T at 100, H at 100

Total steps : 49+25+13+7+4+1 = 99
ago by (669 points)
selected ago by