Problema Solution
it takes a plane 40 min longer to fly from boston to l.a at 525mi/h than it does to return at 600mi/h how far apart are the cities
Answer provided by our tutors
let
v1 = 525 mph the speed of the flight from boston to l.a.
v2 = 600 mph the speed of the flight from l.a to boston. (return)
t = the time of the flight from l.a. to boston
t + 40/60 = t + 2/3 the time of the flight from boston to l.a.
d = the distance between the cities
since speed = distance/time we have distance = speed*time
v1*(t + 2/3) = d
525(t + 2/3) = d
v2*t = d
600t = d follows t = d/600
plug t = d/600 into 525(t + 2/3) = d
525(d/600 + 2/3) = d
by solving we find:
d = 2,800 mi
click here to see the step by step solution of the equation:
the cities are 2,800 miles apart.