Question

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Answer 1

Answer:

112

Step-by-step explanation:

14 miles makes up 11/24 - 1/3 = 1/8 of the total route. The total route is 8*(14 miles) = 112 miles.

Answer 2

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