Answer:
The rate of the slower walker is 4.5 mph.
Step-by-step explanation:
Let the speed of the faster walker is x mph and that of the slower walker is y mph.
So, when they are moving in the opposite direction starting from the same point at the same time, then their resultant speed id (x + y) mph
Now, given that,[tex]x + y = \frac{1}{6} \times 60 = 10[/tex] ............. (1)
Again, when they are moving in the same direction, then their resultant speed will be (x - y) mph.
And as per the given conditions,
[tex]x - y = \frac{1}{1} = 1[/tex] ............. (2)
Now, solving equations (1) and (2) we get,
2x = 11
⇒ x = 5.5 mph and from equation (2),
y = x - 1 = 4.5 mph.
Therefore, the rate of the slower walker is 4.5 mph. (Answer)