Question
Download Solution PDFUmesh starts driving from point P and covers a distance of 15 km towards north. He then turns right, covers a distance of 41 km, turns right and covers a distance of 29 km. He then turns right and covers a distance of 15 km. He turns right, covers a distance of 45 km, turns left, covers a distance of 13 km, then turns left and stops at point Z after covering a distance of 31 km. How far (shortest distance) and in which direction should he drive to reach point Y again? (Unless otherwise specified, all turns are 90° turns only.)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFUmesh's movements can be broken down as follows:
North/South Displacement:
- 15 km (North) - 29 km (South) + 45 km (North) - 31 km (South) = 0 km
East/West Displacement:
- 41 km (East) - 15 km (West) - 13 km (West) = 13 km (East)
This means point Z is 13 km East of point P (or Y).
Therefore, to reach point P, Umesh needs to travel 13 km to the west.
Hence the correct answer is "Option 2"
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