Problema Solution
Two people are 3 ½ miles apart and walking towards each other. Their uniform walking rates differ by 1 mph. They will meet in ½ hour. What is the uniform rate of slower walker? How much of the distance will he/she travel?
Answer provided by our tutors
let
v = the uniform rate of the slower walker, v>0
v + 1 = the rate of the faster walker
d = 3 1/2 mi = 3.5 mi
t = 1/2 hr = 0.5 hr
since speed = distance/time follows distance = speed*time
vt + (v + 1)t = d
v*0.5 + (v + 1)*0.5 = 3.5
by solving we find:
v = 3 mph
click here to see the step by step solution of the equation:
v*t = 3*0.5 = 1.5 mi
the uniform rate of the slower walker is 3 mph.
the slower walker will travel 1.5 mi.