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.

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Lanuel

The amount of time it took Runner B to finish the race is 21 seconds.

Given the following data:

  • Distance = 200-meter

To determine the amount of time it took Runner B to finish the race:

How to calculate time

First of all, we would calculate the time it took Runner A to finish the race:

Note: A minute is equal to 60 seconds.

For the time taken by Runner A, we have:

Time A = [tex]\frac{5}{12} \times 60=25\;seconds[/tex]

Time A = 25 seconds.

For the time taken by Runner B, we have:

We know that it took Runner B [tex]\frac{21}{25} [/tex] of the time taken by Runner A to the finish the race, so we would multiply Runner A’s time by this value.

[tex]Time \;B=\frac{21}{25} \times 25[/tex]

Time B = 21 seconds.

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