Question

If one stride is \[23\;inches\] , how many steps will make a mile?

Answer 1

Hint: For solving this question, we have to determine the relation between a mile and inches. For that, we will first use the relation between a mile and yards. After that, we will use one more relation which is between yard and feet. Finally, as feet can be easily covered in the inches, we will get the conversion from mile to inch so that we can determine the number of steps required to make a mile.

Complete step-by-step answer:
We will first convert a mile into inches.
For this, our first step is to use the relation between a mile and yards. We know that $ 1\;mile $ is equal to $ $ $ 1760\;yards\; $ .
 $ 1mile = 1760\;yards$
Now, if we consider the relation between a yard and feet then we can say that $ 3\;feet $ makes a yard.
 $ 1\;yard = 3\;feet $
 $ \Rightarrow 1\;mile = \left( {1760 \times 3} \right)\;feet = 5280\;feet $
We also know the relation between feet and inches which is $ 1feet $ is equal to \[12\;inches\] .
 $ 1feet = 12\;inches $
 $ \Rightarrow 1mile = \left( {5280 \times 12} \right)\;inches = 63360\;inches $
Thus, we can say that one mile consists of \[63360\;inches\] .
Now, we are given that one stride is \[23\;inches\] and we need to determine the number of steps which make a mile.
We can get our answer by dividing the inches we have determined for one mile to this one stride which is \[23\;inches\] .
Therefore, the number of steps $ = \dfrac{{63360}}{{23}} = 2754\dfrac{{18}}{{23}} $ .
Here, our answer is in the mixed fraction form. We can also convert it into decimal form.
 \[\dfrac{{63360}}{{23}} = 2754\dfrac{{18}}{{23}} = 2754.78\;steps\] .
So, the correct answer is “2754.78 steps”.

Note: In this type of question, we should always remember to convert from bigger to smaller units step by step. For example, if we require to convert feet into millimeters then first we will convert feet into inches. Then, inches will be converted into centimeters and finally centimeters are converted into millimeters.