SOLUTION: 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 longe

Question 1167370: 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?
a) If Stanley swam for t hours yesterday, what was his running time?
(b) In terms of t, how long did Stanley bike yesterday?
(c) What distance did Stanley covered while swimming?
(d) What distance did Stanley covered while running?
(e) What distance did Stanley covered while biking?
(f) What was the total distance Stanley covered during practices in terms of t?
(g) Write the equation that will allow you to find the practice time.
(h) For how long did Stanley swim, run, and bike yesterday?

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
running distance is 9(t3+0.5)
biking distance is 16 (2(t3+0.5))=16(2t3+1)
swimming distance is 2.5t3
9t3+4.5+32t3+16+2.5t3=64
43.5t3=43.5
t3=1 hour
He biked for 3 hours (48 miles)
He ran for 1.5 hours (13.5 miles)
He swam for 1 hour (2.5 miles)
He covered 62 miles in 5.5 hours of activity.

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