The record for Boston marathon is 1 hour and 18 minutes and 27 seconds. The Boston marathon is 26.2 miles long. What was the average speed of record winner

Respuesta :

Answer: [tex]20.04\ \frac{mi}{h}[/tex]

Step-by-step explanation:

The first step is to convert the time to hours:

[tex]\frac{18\ min}{60}=0.3\ h[/tex]

[tex]\frac{27\ s}{3,600}=0.0075\ h[/tex]

Then, the record time of the Boston marathon is:

[tex]t=1\ h+0.3\ h+0.0075\ h\\\\t=1.3075\ h[/tex]

Knowing that the Boston marathon is 26.2 miles long, the average speed of record winner is:

[tex]average\ speed=\frac{26.2\ mi}{1.3075\ h}=20.04\ \frac{mi}{h}[/tex]

Answer:

0.005566 miles/sec

Step-by-step explanation:

We are given that The record for Boston marathon is 1 hour and 18 minutes and 27 seconds.

The Boston marathon is 26.2 miles long.

So, Time = 1 hour 18 minutes 27 seconds

1 hour = 3600 seconds

1 min = 60 seconds

So, 18 min = [tex]60 \times 18 = 1080 seconds[/tex]

So, Time =( 3600+1080+27)seconds=4707 seconds

Distance = 26.2 miles

Speed = [tex]\frac{Distance}{Time}[/tex]

Speed = [tex]\frac{26.2}{4707}[/tex]

Speed = [tex]0.005566 miles/sec[/tex]

Hence the average speed of record winner is 0.005566 miles/sec