Question

If the time taken by a train moving at $100km{h}^{-1}$ to cover a certain distance is $0.5$ hours, what should be the speed of the train in order to cover the same distance in $0.2$ hours?

• A. $250km{h}^{-1}$
• B. $350km{h}^{-1}$
• C. $450km{h}^{-1}$
• D. $500km{h}^{-1}$

Answer 1

The correct option is A $250km{h}^{-1}$

We know that,
$Speed=\frac{Distancecovered}{Timetaken}$

$\therefore$$Distance=Speed\times timetaken$
$=100km{h}^{-1}\times 0.5h$ $=50km$.

Speed of the train to cover the same distance in $0.2hours$$=\frac{50km}{0.2h}=250km{h}^{-1}$
$⟹$ $Speed=250km{h}^{-1}$.