Problema Solution
A bicyclist travels at a constant rate on her bicycle. Biking with the wind, it takes 2.6 hours to travel 52 miles. Biking against the wind, the return trip takes 4 hours. If there was no wind, how fast was the cyclist biking?
Answer provided by our tutors
let
c = the speed of the bicyclist with no wind
w = the speed of the wind
Biking with the wind, it takes 2.6 hours to travel 52 miles:
(c + w)*2.6 = 52
Biking against the wind, the return trip takes 4 hours:
(c - w)*4 = 52
by solving the system of equations:
(c + w)*2.6 = 52
(c - w)*4 = 52
we find
c = 16.5 mph
w = 3.5 mph
click here to see the step by step solution of the system of equations:
the cyclist's speed without wind was 16.5 mph.