Question

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

Answer 1

0.005566 miles/sec

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 =
`60 * 18 = 1080 seconds`

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

Distance = 26.2 miles

Speed =
`(Distance)/(Time)`

Speed =
`(26.2)/(4707)`

Speed =
`0.005566 miles/sec`

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

Answer 2

Answer:
`20.04\ (mi)/(h)`

Explanation:

The first step is to convert the time to hours:

`(18\ min)/(60)=0.3\ h`

`(27\ s)/(3,600)=0.0075\ h`

Then, the record time of the Boston marathon is:

`t=1\ h+0.3\ h+0.0075\ h\\\\t=1.3075\ h`

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

`average\ speed=(26.2\ mi)/(1.3075\ h)=20.04\ (mi)/(h)`