Two toy trains a and b run towards each other on a conveyor belt of lenght 2500m.the speed of train a is 35m/s and speed of train b is 15m/s what is the time taken by trains to collide if the speed of the conveyor belt is 10m/s
Answers
Given info : Two toy trains a and b run towards each other on a conveyor belt of lenght 2500m.the speed of train a is 35m/s and speed of train b is 15m/s.
To find : What is the time taken by trains to collide if the speed of the conveyer belt is 10m/s.
solution : speed of train a = 35 m/s
so velocity of train a with respect to conveyor belt, v₁ = 35 - 10 = 25 m/s
similarly, speed of train b = 15 m/s
so velocity of train b with respect to conveyor belt, v₂ = -15 - 10 = -25 m/s
[ as second is in opposite direction of first train so if I use positive sign for 1st train, then it will be negative for 2nd train ]
now time taken by trains to collide = distance between trains/relative velocity
= 2500/{25 - (-25)}
= 2500/50
= 50 sec
Therefore the time taken by trains to collide is 50 sec.