00:03
Hello guys, in this problem we have a turtle and a rabbit moving down a straight line.
00:14
The length of the track is 1500 meter.
00:19
The turtle move with the speed of 0 .9 meters per second and the rabbit move with a constant speed of 9 meters per second.
00:32
We have to find out.
00:36
If the turtle take a head start and reach to a a point x from its initial position.
00:48
Then after that the rabbit start to move with speed vr.
00:53
The turtle is moving with speed vt.
00:56
Then what could be the maximum time so that after which the rabbit can the rabbit has a chance to win the race.
01:13
Now the distance required to cover by the turtle to finish the line, e equals.
01:19
The total distance t minus x then we can write the time taken to power the remaining part of the race by turtle t equals the distance t minus x over the speed of the turtle vt say this as equation one and to win there is in the same time interval, the rabbit need to finish the total track.
02:17
So the time taken by the rabbit still t and it equals the total distance t over the speed of the rabbit vr...