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 loca…

Question

asked Aug 11, 2021 220k views

1 Answer

Abuzeid · Answer 1 · 2021-08-15T20:32:48+0000

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 :

((a+c)/(2),(b+d)/(2)) .

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

So , it is given by :

( 11 , 0 ) = ((-1+x)/(2),(-10+y)/(2))

Comparing both coordinate :

$(x-1)/(2)=11\\\\x=22+1\\\\x=23$

and

$(y-10)/(2)=0\\\\y=10$

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

Hence , this is the required solution .