Question

a person runs at a constant speed of 9.2 miles per hour for 6 minutes and 30 seconds. How far did they travel in yards.

Answer 1

Given:

Speed$= \bold{9.2 \ \frac{miles}{hour}}$  

$\therefore$

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

       $=\bold{6\times 60 \ second + 30 \ second }\\\\=\bold{360\ second+30\ second}\\\\=\bold{390\ second}$

When 3600 seconds covers=9.2 miles

Then equation:

$=\bold{\frac{9.2}{3600}}$

390 seconds covers:

$=\bold{\frac{9.2}{3600}\times 390 \ miles}$  

Let

$\bold{1 \ miles= 1760\ yard}$

Convert the traveling value into yards:

$=\bold{ \frac{9.2}{3600}\times 390\times 1760}\\\\=\bold{ \frac{9.2}{36}\times 39\times 176}\\\\=\bold{ \frac{9.2}{12}\times 13\times 176}\\\\=\bold{ \frac{9.2}{12}\times 2288}\\\\=\bold{ 9.2\times 190.66}\\\\=\bold{ 1754.072\ yards}$

Therefore, total traveling yards are"1754.072".  

Learn more:

brainly.com/question/20282942

Answer 2

Speed of the person has been given as 9.2 miles per hour.

Therefore, speed of the person in miles per minute = $\frac{9.2}{60}$

Duration for which the person is running = 6 minutes and 30 seconds

                                                                    = 6 minutes and $\frac{30}{60}$ minutes

                                                                    = 6.5 minutes

Since, Distance = Speed × Time

By substituting the values in the expression we can get the distance traveled.

Distance = $\frac{9.2}{60}\times 6.5$

               = 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,

brainly.com/question/13458499