Problema Solution
it takes evelyn, traveling at 32 mph, 45 minutes longer to go a certain distance than it takes sarah traveling at 80 mph. Find the distance traveled.
Answer provided by our tutors
let
v1 = 32 mph the speed of Evelyn
v2 = 80 mph the speed of Sarah
t = the time of Sarah in hours
t + 45/60 = the time of Evelyn in hours
since speed = distance/time follows distance = speed*time
v1*(t + 45/60) = v2*t
32(t + 45/60) = 80t
by solving we find:
t = 0.5 hr
click here to see the step by step solution of the equation:
v2*t = 80*0.5 = 40 mi
the distance traveled is 40 miles.