Problema Solution
In the morning Maria drove to an business appointment at 40 mph. Her average speed on the return trip was 30 mph. the return trip to one-third of an hour longer because of heavy traffic. How far did she travel to her appointment?
Answer provided by our tutors
let
v1 = 40 mph Maria's average speed to the appointment
v2 = 30 mph Maria's average speed of the return trip
t1 = the time of the trip to the appointment
t2 = the time of the return trip
d = the distance
the return trip to one-third of an hour longer because of heavy traffic:
t2 = t1 + 1/3
since speed = distance/time follows time = distance/speed thus we have
t2 = d/v2
t2 = d/30
t1 = d/v1
t1 = d/40
plug t1 = d/40 and t2 = d/30 into t2 = t1 + 1/3:
d/30 = d/40 + 1/3
by solving we find:
d = 40 mi
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Maria traveled 40 miles to get to her appointment.