Chapter 2, Problem 11P

To determine

Time taken by both locomotive to reach each other.

Answer to Problem 11P

  $t=2.6842\text{min}$

Explanation of Solution

Given:

Speed of one locomotive, $v_1=95\text{km/h}$

Speed of other locomotive, $v_2=95\text{km/h}$

Distance between them, $d=8.5\text{km}$

Formula Used:

As, $\text{time}=\frac{\text{distance}}{\text{speed}}$

As the locomotives are travelling towards each other. So, their relative velocity will be $v_1+v_2$

Therefore, time taken to reach each other is,

  $\begin{array}{l}t=\frac{8.5}{95+95}\times 60\text{min}\\ t=2.6842\text{min}\end{array}$

Conclusion:

Therefore, the time taken to reach each other

  $t=2.6842\text{min}$