Question

If kioko can run $6$miles in $36$ minutes, how far can he run in $84$ minutes at this same rate?

Answer 1

Hint: As we know that the above given question is a word problem. A problem is a mathematical question written as one sentence or more describing a real life scenario where that problem needs to be solved by the way of mathematical calculation. To solve this question we will use the cross multiplication method.

Complete step by step solution:
We need to first understand the requirement of the question which is the distance in the given period of time.
Let us assume the distance that Kioko can run in $84$ minutes be $x$ .
It is given that kioko can run $6$ miles in $36$ minutes, so we set up a proportion which is $\dfrac{6}{{36}} = \dfrac{x}{{84}}$. Now we use the cross multiplication method which states that if there is $\dfrac{a}{b} = \dfrac{c}{d}$, then we can write it as $a \times d = c \times b$.
Similarly we can write $\dfrac{6}{{36}} = \dfrac{x}{{84}}$ as $6 \times 84 = 36x$. We will solve it now: $36x = 504 \Rightarrow x = \dfrac{{504}}{{36}}$.
It gives us the value of $x = 14.$

Hence the required distance is $14$ miles.

Note: We should always be careful what the question is asking i.e. the distance that can be covered not the time or speed. Based on the requirement and by observing all the necessary information that is already available in the question we gather the information and then create an equation or by unitary method whichever is applicable, then we solve the problem and then verify the answer by putting the value in the problem and see whether we get the same answer or not.