The total distance of the route is 112miles.
Step-by-step explanation:
Let us consider the total distance of the route to be 'y'.
Given that,
The distance from Boston to the passengers station = (1/3) y
The passenger got down at a station after beyond his station which is 14 miles away and the remaining route from that station is (13/24) y
So the travelled route = y - (13/24) y
= (11/24) y
The travelled route is from Boston to a station beyond 14miles of his station.
We can write the above as,
(11/24) y = (1/3) y + 14
(11/24) y - (1/3) y =14
(11y - 8y) /24 = 14
3y/24 = 14
y/8 = 14
y = 14 x 8
y = 112 miles
The total distance of the route is 112 miles
