we know that
1 m almost equals 3.281 ft
1 mi equals 5280 ft
so
step 1
<u>Convert 100 m to ft</u>
Multiply 100 by 3.281
100*3.281=328.1 ft
step 2
<u>Convert 328.1 ft to miles</u>
Divide 328.1 by 5280
328.1/5280=0.0621 miles
step 3
<u>Find the time</u>
we know that
100 meter is equal to-------> 0.0621 miles
John ran the 0.0621 miles dash with a time of 9.82 sec
Find the time for 26 miles
by proportion
![\frac{0.0621}{9.82} \frac{miles}{sec}=\frac{26}{x} \frac{miles}{sec}\\\\ 0.0621*x=26*9.82\\ \\ x=(26*9.82)/0.0621\\\\x=4,111.43\ sec](https://tex.z-dn.net/?f=%5Cfrac%7B0.0621%7D%7B9.82%7D%20%5Cfrac%7Bmiles%7D%7Bsec%7D%3D%5Cfrac%7B26%7D%7Bx%7D%20%5Cfrac%7Bmiles%7D%7Bsec%7D%5C%5C%5C%5C%200.0621%2Ax%3D26%2A9.82%5C%5C%20%5C%5C%20x%3D%2826%2A9.82%29%2F0.0621%5C%5C%5C%5Cx%3D4%2C111.43%5C%20sec)
<u>convert to hour</u>
we know that
1 hour is------------> 3,600 sec
4,111.43 sec is-----------> 4,111.43/3,600=1.14 hour
4,111.43 sec=1 hour+(4,111.43 sec-3,600 sec)------> 1 hour+511.43 sec
<u>convert to minutes</u>
we know that
1 minute is ---------> 60 sec
511.43 sec=511.43/60-------------> 8.52 min
511.43 sec=8 min+(511.43 sec-8*60 sec)------> 511.43 sec=8 min+31.43 sec
therefore
the total time is equal to
4,111.43 sec= 1 hour +8 min+31.43 sec
the answer is
1 hour +8 min+31.43 sec