What is the distance between M and T?

Directions: Study the information given below carefully and answer the questions that follow.

Point N is 2 km to the North of point M. Point O is 4 km to the West of point N and point P is 5 km to the South of point O. Point Q is 7 km to the East of Point P while point R is 8 km to the North of point Q. Point S is 3 km to the West of point R and point T is 2 km to the North of point S.

Question 1: What is the distance between M and T?

A. 6 km

B. 9 km

C. 8 km

D. 7 km

E. 5 km

Right Answer is: D

SOLUTION

We have drawn the figure according to the information given in the question,

1) Point N is 2 km to the North of point M.

2) Point O is 4 km to the West of point N and point P is 5 km to the South of point O.

3) Point Q is 7 km to the East of point P while point R is 8 km to the North of point Q.

4) Point S is 3 km to the West of point R and point T is 2 km to the North of point S.

Now distance between M and T = MN + (QR – OP) + ST

= 2 + (8 – 5) + 2

= 2 + 3 + 2

= 7 kms

Hence, distance between M and T is 7 kms.