Question 1168819
Stanley practices his running, swimming and biking every day.
 During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph.
let t = time he ran
 Yesterday he ran for half an hour longer than he swam,
t -.5 = time he swam
 and his biking time was twice his running time.
2t = biking time
 How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
9t + 2.5(t-.5) + 16(2t) = 64
9t + 2.5t - 1.25 + 32t = 64
43.5t = 64 + 1.25
t = 65.25/43.5
t = 1.5 hrs running
then
1.5-.5 = 1 hr swimming
and
2(1.5) = 3 hrs biking
:
:
Find the dist of each event
1.5(9) = 13.5 mi running
1(2.5) = 2.5 mi swimming
3(16) = 48 mi biking
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total: 64 mi