Question 1007453
In general, distance = rate * time, or d=rt.
Here, t = d/r = 12 minutes = 1/5 hour.
This means d = 1/5r.
In a hurry, we have (10 minutes is 1/6 hour)
d/(r+5) = 1/6  or
d = (1/6)(r+5)
Since the distance is the same we can set them equal and get
(1/5)r = (1/6)(r+5)
(1/5)r = (1/6)r + 5/6
(6/30)r  = (5/30)r + 5/6
(1/30)r = 5/6
r = 25 km/hr
and since d = rt we have
d = (25)(1/5) = 5 km