A 100m long train is moving with a uniform velocity of 45km/h. What is the time taken by it to cross a bridge 1 km long?

100m long train is moving with a uniform velocity of 45km/h. What is the time taken by it to cross a bridge 1 km long?

Answer:

The time taken by the train to cross the bridge :
\large\bf = \frac{distance\hspace{3pt} covered\hspace{3pt} by\hspace{3pt} train}{velocity\hspace{3pt} of\hspace{3pt} the\hspace{3pt} train}

The distance covered by the train:
= length of the train + length of the bridge
\large\bf = 100m + 1000m
\large\bf = 1100m

velocity of the train (in m/s):
\large\bf = 45 \times \frac{5}{18}
\large\bf = 12.5 ms^{-1}

The time taken by the train to cross the bridge :
\large\bf = \frac{distance\hspace{3pt} covered\hspace{3pt} by\hspace{3pt} train}{velocity\hspace{3pt} of\hspace{3pt} the\hspace{3pt} train}
\large\bf = \frac{1100}{12.5}
\large\bf = 88s

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