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A train travels $100\ m$ long moving on a straight level track passes a pole in $5\ s$. Find the time it will take to cross a bridge $500\m$ long.
Here, the length of the train is equal to the distance covered by the train.
So, the distance covered by the train $=100\ m$
Time $=5\ s$
Therefore, speed of the train $=\frac{distance}{time}=\frac{100\ m}{5\ s}$
$=20\ m/s$
Therefore, time taken to cross a bridge $500\ m$ long $=\frac{distance}{speed}$
$=\frac{500}{20}$
$=25\ m/s$
Therefore, the train will take $25\ seconds$ to cross the $500\ m$ long bridge.
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