A train of $150 ext{ meter}$ length is going towards north direction at a speed of $10 ext{ m/s}$. A parro

Question

A train of $150 	ext{ meter}$ length is going towards north direction at a speed of $10 	ext{ m/s}$. A parrot flies at the speed of $5 	ext{ m/s}$ towards south direction parallel to the railway track. The time taken by the parrot to cross the train is:

Accepted Answer

1.  **Concept - Relative Velocity:** When two objects move in opposite directions (one North, one South), their relative speed is the sum of their individual speeds. 
    *   Velocity of train, $v_T = 10 	ext{ m/s}$.
    *   Velocity of parrot, $v_P = 5 	ext{ m/s}$.
    *   Relative velocity, $v_{rel} = v_T + v_P = 10 + 5 = 15 	ext{ m/s}$ .
2.  **Distance to Cross:** The parrot needs to cover the length of the train to cross it completely.
    *   Distance, $d = 150 	ext{ m}$.
3.  **Calculate Time:** Time taken ($t$) is the total distance divided by the relative speed.
    *   $t = \frac{d}{v_{rel}} = \frac{150}{15} = 10 	ext{ sec}$.

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