Problema Solution
A subway travels 60 miles per hour from Glendale to Midtown. Another subway, traveling at 45 miles per hour, takes 11 minutes longer for the same trip. How far apart are Glendale and Midtown?
Answer provided by our tutors
let
v1 = 60 mph the speed of Glendale to Midtown subway
v2 = 45 mph another subway
t1 = the time of the first subway in hours
t2 = time of the second subway in hours
t2 = 11/60 + t1
since v = d/t => d = v*t where v=speed, t=time, d=distance
v1*t1 = V2*t2
60*t1 = 45*t2
by solving the system of equations
t2 = 11/60 + t1
60*t1 = 45*t2
we find
t1 = 11/20 hours
t2 = 11/15 hours
the distance t1*v1 = (11/20)*60 = 33 miles
Glendale and Midtown are 33 miles apart.