Question

Anupama takes \[125\] minutes in walking a distance of \[100\] metre. What distance would she cover in \[315\] minutes?

Answer 1

Hint: In the given question, we have to find the distance travelled while information about speed and distance covered of earlier walks is given. We can form a relationship assuming that the distance travelled will be on the same speed and ratio. We can use the formula,
\[Speed = \dfrac{{Dis\tan ce}}{{Time}}\].

Complete step-by-step answer:
Speed is a scalar quantity defined as the distance travelled by the particle or object per unit time. We come across two types of speed – instantaneous and average. For uniform motion, both are identical. Average speed is defined as the total distance covered by a body divided by the time taken by the body to cover it.
The formula for calculating the speed:
\[Speed = \dfrac{{Dis\tan ce}}{{Time}}\]
We can solve the sum as follows:
Anupama takes \[125\] minutes in walking a distance of \[100\] metre so her speed will be-
\[Speed = \dfrac{{100}}{{125}}\]
Now we have to find the distance travelled in \[315\] minutes. We can rewrite the formula as –
\[Dis\tan ce = Speed \times Time\]
\[Dis\tan ce = \dfrac{{100}}{{125}} \times 315\]
\[Dis\tan ce = 252m\]
Thus, the distance travelled by Anupama in \[315\] minutes will be \[252\] metre.
Hence, Anupama takes \[125\] minutes in walking a distance of \[100\] metre. \[252\] metre would cover in \[315\] minutes.
So, the correct answer is “ \[252\] metre ”.

Note: We have solved this sum on the basis of assumption that speed of Anupama will remain constant. However, practically this may not be the case. While solving such questions, we have to make rational assumptions with the available data.
One more thing we need to take care of is to convert all units in single measurement – for example both the time taken should be in hours/minutes, distance should be in metre/kilometre etc.