Town D lies 13 km East of town A. A bus starts at A, goes 8 km West, turns right and goes 5 km to reach B, then turns right again and travels 21 km to stop. How far and in which direction must it travel now to reach town D?

Introduction / Context:This path-tracking problem mixes absolute placements (D relative to A) with the bus’s movement segments. Converting the description into coordinates clarifies the final short leg required to reach D.

Given Data / Assumptions:

• D is 13 km East of A.
• Segment 1: from A, 8 km West.
• Right turn from West → North; go 5 km to B.
• Right turn from North → East; go 21 km; stop.

Concept / Approach:Use a coordinate frame with A at (0,0). Track each move and compare the final stop with D’s coordinate. The last required move is simply the vertical difference between the stop and D.

Step-by-Step Solution:

Verification / Alternative check:Plot the points: the final x matches D exactly (13); only y differs by +5.

Why Other Options Are Wrong:

• 13 km South/21 km South: exaggerate the needed vertical correction.
• 5 km West: would change x, which already matches D.

Common Pitfalls:Forgetting that a right turn from North leads to East; swapping axes signs.

Final Answer:5 Km. towards South