Question 467560
A person is running one mile. 
They alternate 3 minutes of walking at 16.40 minutes per mile and jogging for 1 minute at 13.50 minutes per mile.
 What is the average speed they complete the mile in?
:
Find the dist walked in 3 min:
{{{3/16.4}}} = .183 miles walked
Find the dist jogged in 1 min:
{{{1/13.5}}} = .074 miles jogged
:
Dist traveled after walking 4 times: 4*.183 = .732 mi, 12 min walking
Dist traveled after jogging 3 times: 3*.074 = .222 mi, 3 min jogging
---------------------------------------------------------------------
Total distance traveled after 15 minutes: .954 mi, 1 - .954 = .046 mi remain
:
Find the time to jog the last .046 mi
{{{.046/.074}}} * 1 = .62 min
Total time to cover one mile: 15.62 min which is {{{15.62/60}}} = .26 hrs
:
Find the average speed for the mile in mph: {{{1/.26}}} = 3.846 mph