Problema Solution
Chuck and Dana agree to meet in Chicago for the weekend. Chuck travels 80 miles in the same time that Dana travels 74 miles. If chuck's rate of travel is 3 mph faster than Dana's, at what speed does Chuck travel?
Answer provided by our tutors
let
v = Dana's rate, v>0
d1 = 74 mi
v + 3 = Chuck's rate
d2 = 80 mi
since speed = distance/time we have time = distance/speed:
d1/v = d2/(v + 3)
74/v = 80/(v + 3)
by solving we find:
v = 37 mph
click here to see the step by step solution of the equation:
v + 3 = 37 + 3 = 40 mph
Chuck travels with a speed of 40 mph.