Problema Solution
Rico can drive 3 times as fast as Luis can ride his bicycle. If it takes Luis 3 hours longer than Rico to travel 54 miles, how fast can Luis ride his bicycle?
Answer provided by our tutors
let
v = the speed of Luis, v>0
3v = the speed of Rico
d = 54 mi the distance traveled
t = the time of Rico
t + 3 = the time of Luis
since speed = distance/time we have:
v = d/(t + 3)
v = 54/(t + 3)
3v = 54/t
t = 54/3v
plug t = 54/3v into v = 54/(t + 3)
v = 54/(54/3v + 3)
by solving we find:
v = 1.65 mph
click here to see the step by step solution of the equation:
Luis can ride his bicycle with 1.65 mph.