Question

A train is moving at a uniform speed of 100 km/h. How far will it travel in 20 mins?

• A. $13\frac{1}{3}$ km
• B. $33\frac{1}{3}$ km
• C. $23\frac{1}{3}$ km
• D. $50\frac{2}{3}$ km

Answer 1

The correct option is B $33\frac{1}{3}$ km

Let the distance travelled by train in 20 mins be x km.

$\begin{array}{ccc}Distancetravelled\left(inKm\right)& 100& x\\ Timetaken\left(inminute\right)& 60& 20\end{array}$

Since the speed is uniform, the distance travelled will be directly proportional to time.

$\therefore \frac{100}{60}=\frac{x}{20}$

$\Rightarrow 60\times x=20\times 100$

$\therefore x=\frac{20\times 100}{60}=\frac{100}{3}km$

$=33\frac{1}{3}km$

Hence,
Required distance $33\frac{1}{3}km$