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. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
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What was the total distance Stanley covered during practices in terms of t?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! 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
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