Problema Solution
A woman cycles 8 miles per hour faster than she runs. Every morning she cycles 4 miles and runs 2.5 miles, for a total of one hour of exercise. How fast does she run?
Answer provided by our tutors
let
x = the speed of running
y = the speed of cycling
a woman cycles 8 miles per hour faster than she runs
y = 8 + x
she cycles 4 miles and runs 2.5 miles, for a total of one hour
4/y + 2.5/x = 1
by solving the system of equations
y = 8 + x
4/y + 2.5/x = 1
we find that
x = 3.78459 miles per hour
y = 11.7846 miles per hour
She runs with a speed of 3.78459 miles per hour.