Question

A train is moving at a uniform speed of 75 km/hr. Find the time required to cover a distance of 250 km?

Answer 1

Hint: As the speed and distance is given and we have asked to find the time required to cover a distance so we are going to use the formula which is $speed={\displaystyle \frac{dis\tan ce}{time}}$.

Complete step-by-step answer:
We know the relation between speed, distance and time in the following formula:
$speed={\displaystyle \frac{dis\tan ce}{time}}$
In the above question, the speed of a train is given as 75 km/hr and the distance covered by the train is 250 km and we have to find the time. Let us assume the value of time be t hours then substitute the value of speed, distance and time in the above formula we get,
$\begin{array}{rl}& 75={\displaystyle \frac{250}{t}}\\ & \Rightarrow t={\displaystyle \frac{250}{75}}\\ & \Rightarrow t={\displaystyle \frac{10}{3}}\\ & \Rightarrow t=3.33\end{array}$
From the above calculation, we get the value of t is 3.33 which is the time required to cover a distance of 250 km.
Hence, the time required by the train to cover a distance of 250 km with a uniform speed of 75 km/hr is 3.33 hours.

Note: While solving such problem some points to be taken care of:
Be careful about the units of speed, distance and time. For instance, in the above problem speed is in km/hr so the units of distance should be in km and the unit of time should be in hr. And “hr” is the abbreviation for hour. If you find in some question, speed is in km/hr but the distance is in m, first convert the unit of distance into km then substitute the value of distance in the formula.