Question

Harsh takes $150$ steps in walking a distance of $125$ metres. What distance would he cover in $360$ steps?

Answer 1

Hint: We can see that the above given question is a word problem. It has a numerical question that is written in the form of sentence. So we will convert them into mathematical equation and then we solve it. We have been given that Harsh takes $150$ steps in walking a distance of $125$ metres and we have to calculate the distance for $360$ steps. So we will apply the unitary method to solve this question.

Complete step by step answer:
As per the question we have Harsh takes $150$ steps in walking a distance of $125$ metres.
By applying a unitary method we can write: With $150$ steps, harsh covers $125m$.
So for $1$ step, harsh will cover $\dfrac{{125}}{{150}}$ metres.
Now for $360$ steps, the distance covered will be $\dfrac{{125}}{{150}} \times 360$ metres.
On simplifying it gives us the value
$25 \times 12 = 300$ metres.

Hence the required distance is $300$ metres.

Note: We can also solve this question by an alternate method.
For harsh, $150$ steps cover $ = 125$ metres
Let us assume that the distance for $360$ steps will be $x$.
We can write the equation as :
$\dfrac{{150}}{{125}} = \dfrac{{360}}{x}$
By cross multiplication we have :
$150x = 360 \times 125$
By isolating the term $x$ , we have :
$x = \dfrac{{360 \times 125}}{{150}}$
It gives us value
$\dfrac{{45000}}{{150}} = 300$ metres.
Hence the distance is $x = 300\,m$