Problema Solution
Ken completed a 29 mile race in 2 hours. He ran an average speed 8.5mph and she biked an average speed of 16mph. how much father did she bike than run?
Answer provided by our tutors
let
r = the Ken ran, r>0
b = the time Ken biked, b>0
Ken completed a 29 mile race in 2 hours means:
r + b = 2
since distance = average speed*time we have:
8.5r + 16b = 29
by solving the system of equations:
r + b = 2
8.5r + 16b = 29
we find:
b = 1.6 hr
r = 0.4 hr
click here to see the step by step solution of the system of equations:
the difference in the distance that Ken ran and the distance he biked is:
8.5*b - 16*r = 8.5*1.6 - 16*0.4 = 7.2 miles.