How many seconds will a 500 ;m long train tak | vedclass

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Question

(B) Let the time taken by the train to cross the man be $t$ seconds.Since the man is walking in the same direction as the train,the relative speed is

Vedclass · Accepted Answer

$30$

Vedclass · Answer

(B) Let the time taken by the train to cross the man be $t$ seconds.Since the man is walking in the same direction as the train,the relative speed is the difference between their speeds.Relative speed $= (63 - 3) \;km/h = 60 \;km/h$.To convert the speed into $m/s$,multiply by $\frac{5}{18}$:Relative speed $= 60 	imes \frac{5}{18} = \frac{300}{18} = \frac{50}{3} \;m/s$.The distance to be covered to cross the man is equal to the length of the train,which is $500 \;m$.Using the formula $	ext{Time} = \frac{	ext{Distance}}{	ext{Speed}}$:$t = \frac{500}{50/3} = \frac{500 	imes 3}{50} = 10 	imes 3 = 30 \;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 same direction as the moving train,if the speed of the train is $63 \;km/h$?

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