Rakesh and vishal are running along a circular path of circumference 84 km in opposite directions. They start from point o1 and meet for the first time at point o2. After meeting they exchange their speeds as well as their directions and continue running around the track. They repeat this process every time they meet. Initially, rakesh has a speed of 85 km/hr and vishal has a speed of 17 km/hr. What is the distance along the track between the points where they meet for the 3rd and 6th time?
Answers
Answer:
42 km along track
Explanation:
rakesh has a speed of 85 km/hr and vishal has a speed of 17 km/hr
in Opposite direction
and they start from point o1
They meet 1st time at o2
=> To meet at point O2 both together has run 84 km
Now they change their speed & Direction
& to meet again they both together has to run 84 km
Every time to meet again they have to run 84 km together ( their speeds are immaterial) , if they are running in opposite direction.
Distance travelled between 3rd & 6th = 84 * 3 = 252 km
If Question is about Distance betwenn points Lets Find
points first
Rakesh Speed = 85 km/hr & Vishal 17 km/hr
=> Rakesh Speed : Vishal Speed = 85 : 17 = 5: 1
Total Speed = 85 + 17 = 102 km/hr
Rakesh speed = 5/6 & Vishal Speed = 1/6
Let say They start from 0
point to meet 1st Time (o2) = 1/6 * 84 = 14 km towards Vishal Direction
now Rakesh Will move with Speed of Vishal & Direction of Speed
Basically only name changes of person Speed remains same
o3 (2nd time ) = 14 + 14 = 28 km from origin
O4 (3rd time) = 28 + 14 = 42 km from Origin
o5(4th time) = 56 km from origin (28 km in reverse direction)
o6 (5th Time) = 70 km from origin (14 km in reverse direction)
o7 (6th Time) = 84 km from origin ( origin again)
Distance along track between 3rd time Meet & 6th time meet = 84 - 42 = 42 km