Tracking Mohit's Driving Route
We will track Mohit's position by calculating his net displacement along the North-South and East-West axes. Let the starting Point Y be the origin (0, 0).
Movement Analysis
- Initial Position: Point Y at (0, 0).
- Move 1: 35 km North. Position: (0, 35).
- Move 2: Turns right (East), drives 83 km. Position: (0 + 83, 35) = (83, 35).
- Move 3: Turns right (South), drives 49 km. Position: (83, 35 - 49) = (83, -14).
- Move 4: Turns right (West), drives 36 km. Position: (83 - 36, -14) = (47, -14).
- Move 5: Turns right (North), drives 76 km. Position: (47, -14 + 76) = (47, 62).
- Move 6: Turns left (West), drives 47 km. Position: (47 - 47, 62) = (0, 62).
- Move 7: Turns left (South), drives 21 km. Position: (0, 62 - 21) = (0, 41).
- Final Position: Point Z is at (0, 41).
Calculating Net Displacement
Let's sum the movements along each axis:
- North-South Displacement:
- North: $+35$ km + $76$ km = $111$ km
- South: $-49$ km - $21$ km = $-70$ km
- Net North-South: $111 - 70 = 41$ km (North)
- East-West Displacement:
- East: $+83$ km
- West: $-36$ km - $47$ km = $-83$ km
- Net East-West: $83 - 83 = 0$ km
The final position Z is located 41 km North of the starting Point Y, along the North-South axis. The East-West displacement is zero.
Determining Return Path to Point Y
Mohit is currently at Point Z (0, 41) and needs to return to Point Y (0, 0).
- To move from (0, 41) to (0, 0), Mohit must travel along the North-South axis.
- The required change in the North-South coordinate is $0 - 41 = -41$ km.
- A displacement of $-41$ km signifies moving 41 km towards the South.
Therefore, Mohit needs to drive 41 km towards the South to reach Point Y again.
Similar Questions
- Xheik starts from Point A and drives 18 km towards East. He then takes a left turn, drives 4 km, turns left and drives 21 km. He then takes a left turn and drives 9 km. He takes a final left turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
- Town N is to the north of Town M. Town O is to the east of Town N. Town P is to the north of Town O. Town Q is to the east of Town P. Town R is to the east of Town Q. What is the position of Town R with respect to Town M?
- Hashini starts from Point Y and drives 16 km towards north. She then takes a left turn, drives 5 km. She then turns left and drives 25 km. She takes a final left turn, drives 5 km and stops at Point Z. How far (shortest distance) and towards which direction should she drive in order to reach Point Y again? (All turns are 90-degree turns only unless specified)
- Vignesh starts from Point Y and drives 17 km towards south. He then takes a left turn, drives 25 km. He then turns right and drives 9 km. He takes a final right turn, drives 25 km and stops at Point Z. How far (shortest distance) and towards which direction should he drive in order to reach Point Y again? (All turns are 90° turns only unless specified.)
- Nilesh starts from Point Y and drives 17 km towards the north. He then takes a left turn and drives 31 km, then turns left and drives 45 km. He then takes a right turn and drives 23 km. He takes a right turn, drives 28 km and stops at Point Z. How far (shortest distance) and in which direction should he drive in order to reach Point Y again? (All turns are 90-degree turns only unless specified.)
- Ram starts his journey from point A and drives for 12 km towards the south. He then turns right and drives for 7 km. He then turns left, drives for 5 km, then again turns left and drives for 13 km, and then again turns left and drives for 9 km. He then turns left and drives for 14 km. He takes a final right turn and drives for 8 km and stops. How far (shortest distance) and in which direction should he drive in order to reach point A again? (All turns are 90-degree turns only unless specified.)
- Vinay starts from Point A and drives 8 km towards North. He then takes a left turn, drives 4 km, turns left and drives 11 km. He then takes a left turn and drives 6 km. He takes a final left turn, drives 3 km and stops at Point P. How far (shortest distance) and towards which direction should he drive in order to reach Point A again? (All turns are 90° turns only unless specified.)
- Read the given paragraph carefully and answer the question.
Ram walks 5 km straight from his home. After taking a right turn he walks for another 8 km. He then takes a left turn and reaches shop A after 2 km. From there he takes a right turn and walks 2 km. He covers another 7 km to the right to reach shop B.
What is the distance covered by Ram to reach shop A from his home? - John and Jenny stood at a point facing the north. John left Jenny in the morning and walked towards the west for 3 km, taking 15 minutes. Then he moved towards the south for 4 km, taking 25 minutes. What is the shortest distance Jenny needs to travel to meet John?
- From his house, Kamal drives 10 km in the north-west direction and then 10 km in the south-west direction. After that, he drives 10 km in the south-east direction. Finally, he turns towards his house and drives further.
In which of the directions given below is he most likely to be driving?
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?
