I have a map where indy and ft. Wayne are 3 centimeters apart. Kokomo and indy are 1.5 cm apart on the map. If i know that indy and ft. Wayne are really 120 miles apart, how far would indy and kokomo be in real life?

Answer :

Indy and kokomo will be 60 miles apart in real life.

Explanation

On the map, Indy and ft. Wayne are 3 cm apart and Kokomo and Indy are 1.5 cm apart.

So, the ratio of the distance between Indy and ft. Wayne to the distance between Kokomo and Indy will be:  [tex]3: 1.5 = 30:15= 2:1[/tex]

Now, lets assume that real distance between Indy and ft. Wayne is  [tex]2x[/tex] cm and real distance between Kokomo and Indy is  [tex]x[/tex]  cm.

Given that, the real distance between Indy and ft. Wayne is 120 miles.

That means....

[tex]2x= 120\\ \\ x= \frac{120}{2}=60[/tex]

So, Indy and kokomo will be 60 miles apart in real life.