Problema Solution
Two cars, which are 416 miles apart and whose speeds differ by 4 miles per hour, are moving toward each other. If they meet in 4 hours, find the speed of each car. (Enter your answers as a comma-separated list.)
Answer provided by our tutors
let
d = 416 mi the distance between the cars
v = the speed of the first car, v>0
v + 4 = the speed of the second car
t = 4 hr the time of the travel of the cars
since distance = speed*time we have:
vt + (v + 4)t = 416
v*4 + (v + 4)4 = 416
by solving we find:
v = 50 mph
click here to see the step by step solution of the equation:
v + 4 = 50 + 4 = 54 mph
the speeds of the cars are: 50 mph and 54 mph.