Problema Solution
As a part of her training routine, Shayelle alternates between cycling and running for exercise. She cycles at a rate of 16mph and runs at a rate of 8mph. If she spends 5.5 hours exercising and covers a total of 80 miles. How much time did she spend on each exercise?
Answer provided by our tutors
let
c = the time she spends cycling
r = the time she spends running
she spends 5.5 hours exercising:
c + r = 5.5
and covers a total of 80 miles:
16c + 8r = 80 divide both sides by 8
2c + r = 10
by solving the system of equations:
c + r = 5.5
2c + r = 10
we find:
c = 4.5 h
r = 1 h
click here to see the step by step solution of the system of equations:
Shayelle cycles 4.5 hours and runs for an 1 hour.