Explanation:

Let’s break down what’s given:

- M is 3 km west of N.

- P is 2 km north of M.

- O is 3 km east of P.

- Q is directly south of O, 6 km away. (O–Q, 6 km. N is between O and Q.)

- S is between M and R. M–S is 2 km.

- T is 3 km west of S.

- U is straight north of T; T–U = S–P.

Now for the question:

What is the distance T–U?

Here’s the answer in plain terms:

- S–P (distance between S and P): since S is 2 km east from M (M–S=2 km), and T is 3 km west from S, this means T is 1 km west of M.

- Both T and M are on the same east-west line, but T is further west.

- P is 2 km north of M. So, S is 2 km east of M, P is 2 km north of M. That makes them diagonal from each other: 2 km (east), 2 km (north).

Quick calculation:

Distance between S and P = v(2² + 2²) = v8 = 2.83 km (approximately 2 km, not 4 km)

But the question is about distance between T and U, which is the same as S and P.

Let’s check options:

1. 1 km

2. 0.5 km

3. 2 km

4. 4 km

5. 6 km

So, the closest answer is option 3: 2 km

What this really means is, if you draw it out, the “distance between T and U” (the vertical distance matching the diagonal from S to P) is 2 km, not 4 km.

Option 3 (2 km) is correct.

Option 4 (4 km) is not correct.