Answer:
25 mph
120 miles
Step-by-step explanation:
We have that the speed is equal to:
v = d / t
if we solve for distance:
d = v * t
in this case, since it is the same route both outward and back, the distances are equal, therefore:
v1 * t1 = v2 * t2
t1 = 4 hours
t2 = 6 hours
v1 = x + 5 (downstream speed)
v2 = x -5 (upstream speed)
replacing:
(x + 5) * 4 = (x - 5) * 6
4 * x + 20 = 6 * x - 30
6 * x - 4 * x = 20 + 30
2 * x = 50
x = 25
speed is 25 mph
now the distance would be:
d = (25 + 5) * 4 = 120
d = (25 - 5) * 6 = 120
In other words, the route was 120 miles.
