Question

Ambers fastest marathon running time is 2 hours 15 minutes 25 seconds. If a marathon is 26.2 miles, how long in minutes and seconds to the nearest second would it take amber to run 1 mile ?

A - 6 min 10 sec
B - 10 min 11 sec
C - 5 min 21 sec
D - 5 min 10 sec

Answer 1

D - 5 min 10 sec

Explanation:

First of all, we need to convert the marathon running time into seconds. We have:

2 hours = 2 x 3,600 s = 7,200 s

15 minutes = 15 x 60 s = 900 s

25 seconds = 25 s

So, in total,

`t= 7,200 s+900 s+25 s=8,125 s`

During this time, Ambers covered 26.2 miles. We can find the time Amber would take to run 1 mile by using the following proportion:

`26.2 mi : 8,125 s = 1 mi : x\\x=((8,125 s)(1 mi))/(26.2 mi)=310 s`

Since

5 min = 5 x 60 s = 300 s

We see that 310 seconds corresponds to 5 min and 10 seconds.