Question

A train travels between two stations $X$ and $Y$, a distance of $120km$ in $80minutes.$. It passes through a station $Z$, $1hour$ after leaving $X$, what is the distance between$Y$and $Z$ $?$

Answer 1

As it is given that, distance $120km$ and time taken by train from $X$ to $Y$ is $80minutes.$

Then, speed of the train is $\frac{120}{80}=1.5Km/min$

Distance travelled in $1hour$ $=$ distance travelled in $60\mathrm{minutes}=1.5\mathrm{x}60=90\mathrm{km}$

As the train passes station $Z$ in $1hour$ after leaving station $X$, so the distance between $X$ and $Z$ $=$ $90km$

Now, distance between $Y$ and $Z$ $=$ distance between $X$ and $Y$$-$distance between $X$ and $Z$

$=120-90=30km$

Hence, the distance between $YandZ=30Km$.