A man starts from a point A and walks 30 meters towards south. from there he turns left and walks 40 meters. Again he turns left and walks 30 metres and reaches a point B. How far and in which direction is the man now from the point A?
20 meters west
Note on this question: there is a mismatch between the English and Hindi versions of this question as officially set by UGC. The English text given here describes only THREE legs of the walk (South 30 m, left turn + 40 m, left turn + 30 m, ending at point B). However, the Hindi version of the same question includes a FOURTH leg that is missing from the English text: after reaching point B, the man turns left again and walks 60 metres further. Because the two language versions describe different journeys, UGC officially dropped this question. For learning purposes, here is how the given answer is derived using the complete, 4-leg version of the journey (matching the Hindi text):
Step 1: The man starts at point A facing South and walks 30 m South.
Step 2: He turns left. If you are facing South, a left turn makes you face East. He walks 40 m East.
Step 3: He turns left again. Facing East, a left turn makes you face North. He walks 30 m North. This is point B.
Step 4: (this leg is present only in the Hindi version) He turns left again. Facing North, a left turn makes you face West. He walks 60 m West.
Step 5: Now calculate the net displacement.
Net North-South displacement = 30 m South − 30 m North = 0 (the southward and northward walks cancel out).
Net East-West displacement = 40 m East − 60 m West = 20 m West (since 60 m West is more than 40 m East, the net direction is West).
So the man ends up exactly 20 metres to the West of point A, which matches the given answer 20 meters West. (Note: if only the 3-leg English version is used, the final position would be 40 m East of A, which does not match any option — this confirms the English text is incomplete and the question was correctly dropped by UGC.)
Important Questions from Direction and Distance
- Vijendra walks a certain distance, say X metres, from his home towards the west. Then he turns left and walks 23 metres. After that, he turns left and walks 36 metres. Then he turns left again to walk 23 metres. He finally turns left and walks 18 metres to reach his home. Find the value of X.
Gaurav exits from the backdoor of his north-facing house and walks 25 m straight, then he takes a left turn and walks 36 m, then he turns left and walks 47 m. He turns left again and walks 36 m. How far and in which direction is he from his house now?
Reeta is standing facing south-east. First, she turns 135° clockwise. After that, she turns 90 ° anticlockwise. Then she turns 45 ° clockwise, followed by a 135 ° anticlockwise turn. In which direction is she facing now?
Sahasra started running from her house towards the north. After 40 meters she turned left and ran for 75 meters. She then turned right and ran for 30 meters, and again turned right to run 75 meters. In which direction was she running finally?
At the time of sunset, Lopa and Kritika are sitting facing each other. If the shadow of Lopa falls to the right of Kritika, in which direction is Kritika facing?
