Question

Runner A finished a 200-meter race in 5 12 of a minute. The Runner B ran it in 21 25 of Runner A’s time to win the race. How much time did it take Runner B to finish the race? Explain how your arrived at your answer.

Answer 1

By multiplication of fractions, we will see that runner B needed 7/20 of a minute.

Writing the equation

So we know that runner A finishes the race in 5/12 of a minute.

We also know that runner B was faster, he ran the same distance in a 21/25 of the time that took A.

To get the time that runner B needed, we just need to multiply these two fractions, so the equation we need to solve is just:

$\frac{21}{25} \frac{5}{12} = \frac{21*5}{25*12} = \frac{21}{5*12} = \frac{21}{60} = \frac{7}{20}$

Where to simplificate it I just divided both the numerator and denominator by 5 and then by 3, to get the fraction 7/20, that is in the simplest form.

So we can conclude that runner B completed the race in 7/20 of a minute.

If you want to learn more about the multiplication of fractions, you can read:

https://brainly.com/question/3612844