O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Speed, Time and Distance, Exercise 2: Exercise

A train with a speed of $60 \mathrm{km}/\mathrm{h}$, crosses a pole in $30$ seconds. If the length of the train is $k \mathrm{m}$, then find the value of $k$.

A train $50$ metres long passes a platform $100 \mathrm{m}$ long in $10$ seconds. If the speed of the train is $a \mathrm{km}/\mathrm{h}$, then find the value of $a$.

A train $270$ metres long is running at a speed of $36 \mathrm{km}/\mathrm{h}$. It will take $k \sec$ to cross a bridge $180$ metres long. Find the value of $k$.

A passenger train $125$ metres long takes half a minute in crossing a tunnel $355$ metres long. If the speed of the train is $k \mathrm{m}/\mathrm{s}$, then find the value of $k$.

A train $200$ metres long running at $36 \mathrm{km}/\mathrm{h}$ takes $55$ seconds to pass a bridge. If the length of the bridge is $k \mathrm{m}$, then find the value of $k$.

A $225$ metres long train crosses a $275$ metres long tunnel in $1$ minute. If the speed of the train is $x \mathrm{km}/\mathrm{h}$, then find the value of $x$.

A $200 \mathrm{m}$ long train crosses a platform of double its length in $36$ seconds. The speed of the train is $x \mathrm{km}/\mathrm{h}$. Find the value of $x$.

A train crosses a platform $90 \mathrm{m}$ long in $30$ seconds and a man standing on the platform in $15$ seconds. Find the speed of the train.