Problema Solution
Natasha rides her bike (at a constant speed) for 4 hours, helped by a 25) wind of 3 miles per hour. Pedaling at the same rate, the trip back against
the wind takes 10 hours. Find find the total round trip distance she
traveled.
Answer provided by our tutors
let
v = the speed of Natasha
w = 3 mph the speed of the wind
t1 = 4 hr the time for the travel with the wind
t2 = 10 hr the time of the travel against the wind
d = the round trip distance
traveling with the wind
(v + w)*t1 = d/2
(v + 3)*4 = d/2
traveling against the wind
(v - w)*t2 = d/2
(v - 3)*10 = d/2
by solving the system of equations
(v + 3)*4 = d/2
(v - 3)*10 = d/2
we find
d = 80 mi
click here to see the step by step solution of the system of equations
the total round trip distance is 80 miles.