Respuesta :
Answer:
4 minutes.
Step-by-step explanation:
We have been given that Jim ran four-fifths of a mile and dropped out of the 1600 meter race. His pace was 12 miles an hour until the point he dropped out of the race.
We will use formula [tex]\text{Time}=\frac{\text{Distance}}{\text{Speed}}[/tex] to solve our given problem.
[tex]\text{Time}=\frac{4}{5}*\text{Mile }\div \frac{12\text{ Miles}}{\text{Hour}}[/tex]
Since we know that dividing a fraction by another fraction is same as multiplying the 1st fraction by the reciprocal of the 2nd fraction.
[tex]\text{Time}=\frac{4}{5}*\text{Mile }\times\frac{\text{Hour}}{12\text{ Miles}}[/tex]
[tex]\text{Time}=\frac{4}{5}\times\frac{\text{Hour}}{12}[/tex]
[tex]\text{Time}=\frac{1}{5}\times\frac{\text{Hour}}{3}[/tex]
[tex]\text{Time}=\frac{1}{15}\times\text{Hour}[/tex]
Let us convert our answer into minutes.
1 hour = 60 minutes.
[tex]\text{Time}=\frac{1}{15}\times\text{Hour}\times \frac{\text{60 Minutes}}{\text{ Hour}}[/tex]
[tex]\text{Time}=\frac{1}{15}\times \text{60 Minutes}[/tex]
[tex]\text{Time}=4\text{ Minutes}[/tex]
Therefore, Jim ran for 4 minutes.
