Problema Solution
A tourist rents a beach cruiser to bike along a long flat stretch of beach. Biking with the wind, it takes 8 minutes to travel 2 miles. Biking against the wind, the return trip takes 14 minutes. If there was no wind, how fast was the cyclist biking? Round to the nearest 0.1 mph.
Answer provided by our tutors
let 's' represent the speed of the cyclist with no wind, let 'v' represent the speed of the wind
distance = speed * time
8 minutes = 8/60 hours
14 minutes = 14/60 hours
we have these equations:
2 = (s+v)(8/60)
2 = (s-v)(14/60)
solving this system we have:
s = 11.785
v = 3.214
the cyclist would have been travelling at approximately 11.8 mph with no wind