Problema Solution
Jordan went on a bike ride of 30 miles. He realized that if he had gone 3 mph faster, he would have arrived 5 hours sooner. How fast did he actually ride?
Answer provided by our tutors
let
d = 30 miles the distance Jordan passed
v = the riding speed of Jordan, v>0
t = the time the ride took, t>0
Jordan went on a bike ride of 30 miles
v = d/t
v*t = d
v*t = 30
t = 30/v
he realized that if he had gone 3 mph faster, he would have arrived 5 hours sooner
(v + 3)(t - 5) = d
(v + 3)(t - 5) = 30
if we plug t = 30/v in the above equations we get
(v + 3)*(30/v - 5) = 30
by solving the equation we find and consider the positve roots sinve v>0
v = 3mph is the speed of Jordan's ride
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