Question

A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is
located at (11,0) and the Bus Station is located at (-1,-10).
The Train Station is located at point
х=

Y=

Answer 1

Given :

The Tourist Information Center is  located at (11,0) and the Bus Station is located at (-1,-10).

Also , Tourist Information Center is between a Bus Station and a Train Station.

To Find :

The point of location of train station .

Solution :

Let , point of location of train station is ( x,y ).

We know , mid-point of two points ( a, b) and ( c, d ) is given by :

$(\dfrac{a+c}{2},\dfrac{b+d}{2})$ .

Since , Tourist Information Center is between a Bus Station and a Train Station.

So , it is given by :

$( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})$

Comparing both coordinate :

$\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23$

and

$\dfrac{y-10}{2}=0\\\\y=10$

Therefore , Train Station is located at point ( 23 , 10 ) .

Hence , this is the required solution .