Question

Who ran at a faster pace?
Misha ran 9 laps in 15 minutes.
Myra ran 12 laps in 25 minutes.
A) Misha ran faster than Myra
B) Myra ran faster than Misha.
C) Both ran at an equal pace.
D) Cannot be determined.

Answer 1

Hint:
First of all we’ll check the units because for any kind of comparison unit must be same. Then we’ll find the speed per minute. It means we’ll check how many laps they covered in a minute then we can compare and get the answer.

Complete step by step solution:
Here as mentioned Misha ran 9 laps in 15 minutes but Myra ran 12 laps in 25 minutes.
But in order to compare we need to find their performance for the same amount of time. So let’s take a standard time of 1 minute.
Now let’s find how many laps they ran in 1 minute.
Misha’s case:
 In 15 minutes she ran 9 laps.
So, in 1 minute she will run = \[\dfrac{9}{{15}} = \dfrac{3}{5}\] laps.

Myra’s case:
In 25 minutes she ran 12 laps.
So, in 1 minute she will run= \[\dfrac{{12}}{{25}}\] laps.
Now in order to compare their performance of a minute, we will compare their laps.
\[\dfrac{3}{5}\] laps by Misha and \[\dfrac{{12}}{{25}}\] laps by Myra.
Again make their denominators same. So we will get
\[\dfrac{{15}}{{25}}\] laps and \[\dfrac{{12}}{{25}}\] Laps.
When fractions have the same denominators, one with the greater numerator is greater.
⇒\[\dfrac{{15}}{{25}}\]>\[\dfrac{{12}}{{25}}\]

So, Option A is correct. Misha ran at a faster pace.

Note:
Whenever we compare two-person for the same action their action unit must be the same and should be considered for the same time. Sometimes, for one person they give speed per minute and for another person they give speed per hour or per second just to make the question a bit complex.