A marathon is 26.2 miles. How many hours would it take a runner whose average speed is 4.25 meters/sec to complete a marathon?

Answer 1

convert 4.25 m/s to 9.506979 mph

divide 26.2 by 9.506979 = about 2.75587019 hours

= about 2 hours 45 minutes and and 21.1 seconds to run a 26.2 mile marathon at 4.25 meters per second

Not a world record but a top time, 1st place finish in many marathons, depending on age group

100 cm = 1 meter

254 cm = 2.54 meters

2.54 cm = exactly 1 inch, by definition

12 inches = 1 foot

5280 feet = 1 mile

12(5280) inches = 1 mile

2.54(12)(5280) cm = 1 mile

60 seconds in 1 minute

60 minutes in 1 hour

3600 seconds in 1 hour

425(3600)= 1.53 x 10^6 cm per hour

divide by 2.54(12)(528) = 1.609344 x 10^5

1.53 x 10^6/1.609344 x 10^5 = 9.5069 mph

= about 9 1/2 mph

26.2/9.5 = about 2 3/4 hours to run the marathon at about 9 1/2 mph