Question

Two toy trains, A and B run towards each other on a conveyor belt of length 1500m The speed of train A is 10 m/s and speed of train B is 5 m/sWhat is the time taken by trains to collide, if the speed of the conveyor belt is 2 m/s?​

Answer 1

Answer:

50 sec

Explanation:

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Answer 2

Given:

• Two toy trains $A$ and $B$ is running towards each other on a conveyor belt.
• The length of conveyor belt is $1500m$.
• The speed of the train $A$ is $10m/s$ and the speed of train $B$ is $5m/s$.
• The speed of the conveyor belt is $2m/s$.

To find:

• Time taken by the trains to collide.

Step by step explanation:

• We know that the two toy trains runs toward each other at a conveyor belt.
• We also know the speed of both the trains $A$ and $B$.
• Speed of train $A$ is $10m/s$.
• Formula for the speed is,

        $speed=\frac{distance}{time}$

• Rearrange the above equation,

        $Time=\frac{distance}{speed}$     ----------$(1)$

• By using this formula we can determine the time taken by train to cross the conveyor.
• Time taken by train $A$ to cross the conveyor is,

        $time(A)=\frac{1500}{10}$

• By solving the above equation we get,

        $time(A)=150s$

• The conveyor belt is moving in the opposite direction of train $B$.
• Since the conveyor belt is moving in the opposite direction of train $B$ the speed of train $B$ is,

        $speed(B)=5m/s-2m/s$

• Therefore,

        $speed(B)=3m/s$

• To find the time taken by the train $B$ to cross the conveyor substitute the values in equation $(1)$.

        $time(B)=\frac{1500}{3}$

• By solving the above equation we get,

        $time(B)=500s$

• Time taken to collide is,

        $time(collide)=500s-150s$

• Therefore,

        $time(collide)=350sec$

Final answer:

• Time taken by the trains to collide is $350sec$