Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The length of the bridge, which a train $130 \, m$ long and travelling at $45 \, km \, h^{- 1}$ can cross in $30$ seconds, is:

NTA AbhyasNTA Abhyas 2022

Solution:

Speed $= \, \left(45 \times \frac{5}{18}\right)ms^{- 1}\Rightarrow \left(\frac{25}{2}\right) \, ms^{- 2}$ ; $Time= \, 30 \, s$ .
Let the length of the bridge be x metres.
Then, $\frac{130 + x}{30}=\frac{25}{2}\Leftrightarrow \, 2\left(\right.130 \, + \, x\left.\right) \, = \, 750 \, \Leftrightarrow \, x \, = \, 245 \, m$