Problema Solution
a cyclist rode 40 miles before having a flat tire and then walking 5 miles to a service station. her cycling rate was 4 times her walking rate. the time she spent cycling and walking was 5 hours. what was her cycling rate?
Answer provided by our tutors
let
c = the cycling rate
w = the walking rate
her cycling rate was 4 times her walking rate
c = 4w
w = (1/4)c
since speed = distance/time => time = distance/speed
40/c + 5/w = 5
plug w = (1/4)c into the last equation
40/c + 5/((1/4)c) = 5
by solving we find
c = 12 mph
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the cycling rate is 12 miles per hour.