Question

Railway train 150 m long and running at the speed of 36 km per hour in what time will it pass a bridge 180 metre long

Answer 1

$length \: of \: the \: train \: = 150m \\ length \: of \: bridge = 180m \\ total \: length = length \: of \: train \: + length \: of \: bridge \\ = 330m \\ \\ we \: need \: to \: convert \: the \: km |hr \: into \: m |s. \\ so \: \: we \: multiply \: 36 \: by \: \frac{5}{18} \\ = 36 \times \frac{5}{18} \\ = 10m |s \\ \\ as \: we \: know \: that \: the \: formula \: for \: time \: = \frac{distance}{speed} \\ = \frac{330}{10} \\ \\ = 33 \: seconds \\ \\ time \: taken \: by \: train \: to \: cross \: the \: bridge \: is \: 33 \: seconds.$
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