Question

A, B and C are three houses in this order along a street in Lagos. The distance from A to B is 120m and the distance from B to C is two-third of that of A to B. What is the distance between A and C?​

Answer 1

Let's call the distance from A to B "x". Then, according to the problem, the distance from B to C is two-thirds of x, or (2/3)x.

The distance from A to C is the sum of the distance from A to B and the distance from B to C. So,

distance from A to C = distance from A to B + distance from B to C

distance from A to C = x + (2/3)x

distance from A to C = (5/3)x

We know that the distance from A to B is 120m, so x = 120m. Substituting that into the equation above, we get:

distance from A to C = (5/3)x

distance from A to C = (5/3)(120m)

distance from A to C = 200m

Therefore, the distance between A and C is 200 meters.

Explanation: