Question

michael ran a 6.2 mile long race. the time t, a runner takes to finish the race is inversely proportional to the speed s,of the runner.Write an equation that relates the variables t and s and use it to determine Michael's speed (in miles per hour) if he completed the race in 2 hours and 30 minutes.

Answer 1

Distance = 6.2 miles

time = t = 2hours and 30 minutes=2.5 hours

Speed = s

Speed = distance/ time

time= distance /speed

Time is inversely proportional to speed-

S = 6.2 / t

Replace by time

S = 6.2/2.5 = 2.48 miles per hour