Question

A, B and C are three cities on a straight road. The distance between A and B is 250 km, between B and C is 140 km and between A and C is 110 km. Which of them is between the other two ?" *​

Answer 1

Answer:

c will be between point of AB.

Answer 2

City C is situated between City A and City B.

For us to determine if a city lies in between, the sum of the distances to our selected city from the remaining two cities must be equal to the distance between the remaining two cities.

That is,

Suppose we choose City C.

Distance between City A and C + Distance between City B and C

= Distance between A and B.

Given,

Distance AC = 110 km; Distance BC = 140km and Distance AB = 250km

Thus,

AC + BC = 110 + 140

= 250 km

which is also equal to distance between AB.

Therefore, City C lies between A and B.