Respuesta :
Given:
Speed[tex]= \bold{9.2 \ \frac{miles}{hour}}[/tex]
[tex]\therefore \\\\[/tex]
1-hour= 60 minutes
1-minutes=60 second
So
1-hour= 3600 second
Converting the given time into seconds:
Time= 6 minutes and 30 second
[tex]=\bold{6\times 60 \ second + 30 \ second }\\\\=\bold{360\ second+30\ second}\\\\=\bold{390\ second}\\\\[/tex]
When 3600 seconds covers=9.2 miles
Then equation:
[tex]=\bold{\frac{9.2}{3600}}\\\\[/tex]
390 seconds covers:
[tex]=\bold{\frac{9.2}{3600}\times 390 \ miles} \\\\[/tex]
Let
[tex]\bold{1 \ miles= 1760\ yard}\\\\[/tex]
Convert the traveling value into yards:
[tex]=\bold{ \frac{9.2}{3600}\times 390\times 1760}\\\\=\bold{ \frac{9.2}{36}\times 39\times 176}\\\\=\bold{ \frac{9.2}{12}\times 13\times 176}\\\\=\bold{ \frac{9.2}{12}\times 2288}\\\\=\bold{ 9.2\times 190.66}\\\\=\bold{ 1754.072\ yards}\\\\[/tex]
Therefore, total traveling yards are"1754.072".
Learn more:
brainly.com/question/20282942
Speed of the person has been given as 9.2 miles per hour.
Therefore, speed of the person in miles per minute = [tex]\frac{9.2}{60}[/tex]
Duration for which the person is running = 6 minutes and 30 seconds
= 6 minutes and [tex]\frac{30}{60}[/tex] minutes
= 6.5 minutes
Since, Distance = Speed × Time
By substituting the values in the expression we can get the distance traveled.
Distance = [tex]\frac{9.2}{60}\times 6.5[/tex]
= 0.9967 miles
Since, 1 mile = 1760 yards
Therefore, 0.99667 miles = 1760 × 0.99667
= 1754.13 yards
Total distance traveled by the person is 1754.13 yards.
Learn more,
https://brainly.com/question/13458499
