Problema Solution
Jose takes the same amount of time to walk 3 miles as it takes Carlos to ride his bike 5 miles. If Carlos travels 5 miles per hour faster than Jose, what is Carlo's rate of speed?
Answer provided by our tutors
let
v1 = the speed of Jose
v2 = the speed of Carlos
d1 = 3 mi the distance that Jose travels
d2 = 5 mi the distance that Carlos travels
Carlos travels 5 miles per hour faster than Jose:
v2 = v1 + 5
since speed = distance/time we have time = distance/speed
d1/v1 = d2/v2
3/v1 = 5/v2 cross-multiply
5v1 = 3v2
by solving the system of equations:
v2 = v1 + 5
5v1 = 3v2
we find:
v1 = 7.5 mph
v2 = 12.5 mph
click here to see the step by step solution of the system of equations:
Carlo's rate of speed is 12.5 mph.