Problema Solution

The record for the Boston Marathon's wheelchair division is 1 hour, 18 minutes,and 27 seconds..

At this rate, about how long would it take this competitor to complete a 30 mile race?

Answer provided by our tutors

let 'd' represent the distance in miles of the Boston Marathon, then we compute the distance per second in miles...


we use the following conversions:

hours to seconds:

1 hour * (60 minutes/1hour) * (60seconds/1minutes) = 3600 seconds

minutes to seconds:

1 minute = 60 seconds


we calculate distance per second:

(1 * 3600 + 18 * 60 + 27)/d


we now convert from a Marathon of 'd' distance to one of 30 miles:

30.*((1 * 3600 + 18 * 60 + 27)/d)


So the length of time, in seconds, it would take to complete a 30 mile race is:

30.*((1 * 3600 + 18 * 60 + 27)/d) seconds

or

(30./60.)*((1 * 3600 + 18 * 60 + 27)/d) minutes

or

(30./3600)*((1 * 3600 + 18 * 60 + 27)/d) hours