Problema Solution
Rita rode her bike to visit a friend who lives 12 miles away. On her way there, her average speed was 5 miles per hour faster than on her way home. If Rita spent a total of 2 hour riding her bike, find the two rates . Mph to and from her friends house
Answer provided by our tutors
let
v = Rita's rate on her way home, v>0
v + 5 = Rita's rate to her friends house (On her way there, her average speed was 5 miles per hour faster than on her way home)
t = 2 hr the total time of the travel
d = 12 mi the distance Rita rode in each direction
since speed = distance/time we have time = distance/speed
the time traveling to her friends house + the time traveling back = the total time
d/(v + 5) + d/v = t
12/(v + 5) + 12/v = 2
by solving we find:
v = 10 mph
click here to see the step by step solution of the equation:
v + 5 = 10 + 5 = 15 mph.
Rita's speed to her friends house was 15 mph.
Rita's speed on the way back was 10 mph.