Answer:
Explanation:
Let "s" be the the speed of the car taking the shorter route in
,
Let "s-2" the speed of the cat taking the longer route in
,
Let "d" be the distance of the shorter route in miles and "d+43" be the distance of the longer route in miles.
Now, Equation for car taking the shorter route is given as:
(1)
and Equation for car taking the longer route is given as:
(2)
Now, substitute equation (1) in (2), we get

⇒

⇒

Therefore, equation (1) becomes,

Thus, the shorter route is =275 miles and the longer route is =d+43=275+43= 318 miles.