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The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is

a) 200 m
b) 225 m
c) 245 m
d) 250 m

Answer: c
Explanation:
$$\eqalign{ & {\text{Speed}} = {45 \times \frac{5}{{18}}} \,{\text{m/sec}} \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = {\frac{{25}}{2}} \,{\text{m/sec}} \cr & {\text{Time}} = 30\,{\text{sec}} \cr & {\text{Let}}\,{\text{the}}\,{\text{length}}\,{\text{of}}\,{\text{bridge}}\,{\text{be}}\,x\,{\text{metres}} \cr & {\text{Then}},\,\frac{{130 + x}}{{30}} = \frac{{25}}{2} \cr & 2\left( {130 + x} \right) = 750 \cr & x = 245\,m \cr} $$

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