Question

Two toy trains, A and B run towards each other on a conveyor belt of length 2500m. The speed of trans 15 and pood
What is the time taken by the trains to collide, if the speed of the conveyor belt is 10 mis?
Options
125 sec
50 sec
62 sec
65 sec​

Answer 1

Answer:

Step-by-step explanation:50 seconds

B option is correct

please answer as brainlest

Answer 2

Given,

Toy trains A and B run towards each other.

Length of conveyor belt $\[ = 2500m\]$

Speed of both train $\[ = 15m/\sec \]$

Speed of conveyor belt $\[ = 10m/\sec \]$

Solution,

Consider the time taken by train to collide is t sec.

Relative speed of train A,

$\[\begin{array}{l} = 15 + 10\\ = 25m/\sec \end{array}\]$

Relative speed of train B,

$\[\begin{array}{l} = 15 - 10\\ = 5m/\sec \end{array}\]$

Consider trains collide at x m from the left side. Train A runs from left to right and train B runs from right to left.

$\[\frac{x}{{25}} = \frac{{2500 - x}}{5}\]$

$\[ \Rightarrow \frac{x}{5} = \frac{{2500 - x}}{1}\]$

$\[\begin{array}{l} \Rightarrow x = 5 \times 2500 - 5x\\ \Rightarrow 6x = 5 \times 2500\end{array}\]$

$\[ \Rightarrow x = \frac{{12500}}{6}m\]$

Calculate the time to collide.

$\[{\rm{time = }}\frac{{{\rm{distance}}}}{{{\rm{speed}}}}\]$

$\[ = \frac{{\frac{{12500}}{6}}}{{25}}\]$

$\[ = \frac{{12500}}{{25 \times 6}}\]$

$\[ = 83.33\sec \]$

Hence both trains collide after $\[ 83.33\sec \]$.

No given option is correctly matched from the right answer.