How many seconds will a 500 , m long train ta | vedclass

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Question

(B) The relative speed of the train with respect to the man moving in the same direction is calculated by subtracting their speeds: $v_{rel} = (63 - 3

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(B) The relative speed of the train with respect to the man moving in the same direction is calculated by subtracting their speeds: $v_{rel} = (63 - 3) \, km/h = 60 \, km/h$.To convert this speed into $m/s$, multiply by $\frac{5}{18}$: $v_{rel} = 60 	imes \frac{5}{18} = \frac{300}{18} = \frac{50}{3} \, m/s$.The time taken to cross the man is equal to the time taken to cover the length of the train at the relative speed: $t = \frac{	ext{Distance}}{	ext{Relative Speed}} = \frac{500}{50/3} = 500 	imes \frac{3}{50} = 10 	imes 3 = 30 \, 	ext{seconds}$.

How many seconds will a $500 \, m$ long train take to cross a man walking with a speed of $3 \, km/h$ in the direction of the moving train, if the speed of the train is $63 \, km/h$?

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