Answer:
1 h 7 min 34 sec as compared to 2 h 3 min 23 sec.
Step-by-step explanation:
Since an official marathon is a little longer than 26 miles, we assume this is about conversion factors, not about time.
[tex]26\,\text{mi}\cdot\dfrac{5280\,\text{ft}}{1\,\text{mi}}\cdot\dfrac{1\,\text{m}}{3.281\,\text{ft}}\cdot\dfrac{9.69\,\text{s}}{100\,\text{m}}=\dfrac{26\cdot 5280\cdot 9.69}{3.281\cdot 100}\,\text{s}\\\\=4054\,\text{s}=1\,\text{hr}\ 7\,\text{min}\ 34\,\text{s}[/tex]
This "sprint speed" time is about 45% less than the fastest time for a marathon.
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1 hour = 3600 seconds
1 minute = 60 seconds
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Comment on the problem numbers
A marathon is officially 42,195 meters in length. At that length, the "sprint speed" time would be 4088.7 seconds, about 1 hr 8 min 8.7 sec.
26 miles with the given conversion factor results in a distance about 354 meters, or 34.3 seconds, shorter.
