Problema Solution
a cyclist rode 77 miles before having a flat tire and then walking 4 miles to a service station. The cycling rate was 15 miles per hour faster than the walking rate. The time spent cycling and walking was 6 hours. Find the rate at which the cyclist was riding.
Answer provided by our tutors
let
v = the rate at which the cyclist was riding
v - 15 = the walking rate (the cycling rate was 15 miles per hour faster than the walking rate), v - 15 >=0, v>= 15
since speed = distance/time follows time = distance/speed:
77/v + 4/(v - 15) = 6
by solving we find:
v = 17.5 mph
click here to see the step by step solution of the equation:
the rate at which the cyclist was ridding was 17.5 mph.