Detailed Solution
Mapping Jessica's Journey
We can track Jessica's movement using a coordinate system where Point A is the origin (0,0). North is the positive y-axis, East is the positive x-axis.
- Start at A: (0, 0)
- Move 1 (North 56 km): Position becomes (0, 56).
- Move 2 (Right turn -> East 58 km): Position becomes (0 + 58, 56) = (58, 56).
- Move 3 (Right turn -> South 61 km): Position becomes (58, 56 - 61) = (58, -5).
- Move 4 (Right turn -> West 61 km): Position becomes (58 - 61, -5) = (-3, -5).
- Move 5 (Right turn -> North 5 km): Final position P becomes (-3, -5 + 5) = (-3, 0).
Calculating Return Path from P to A
The final location is Point P at (-3, 0). The starting Point A is at (0, 0).
To find the shortest distance and direction from P to A:
- East-West Displacement: The difference in the x-coordinates is \(0 - (-3) = 3\).
- North-South Displacement: The difference in the y-coordinates is \(0 - 0 = 0\).
The net displacement is 3 km along the positive x-axis. This corresponds to moving 3 km towards the East.
Therefore, Jessica needs to drive 3 km to the East from Point P to reach Point A.
Similar Questions
Namia is facing the west. She turns left and walks 15 m. She turns left and walks 25 m. She again turns left and walks 40 m. She finally turns left and walks 40 m to reach home. In which direction is her home with respect to the starting point?
Srinu starts from his home and drives 2 km towards the south, then takes a right turn and drives 5 km. He then takes a right turn and drives 6 km before taking a right turn again and driving 4 km further. Srinu finally takes a right turn and drives 4 km before stopping at his office. In which direction should Srinu drive to reach his home again?
(All turns are 90-degree turns only unless specified.)- Aryan starts from point P and walks for 4 m towards the south. Then he takes a left turn and walks for 3 m. Then he takes one more left turn and walks for 8 m. Then he takes a right turn and walks for 2 m. Then he takes the last right turn and walks for 4 m before stopping at point Q. Towards which direction should he walk in order to reach point P again? (All turns are 90-degree turns only unless specified.)
- Swara starts from point P and walks for 8 m towards the north. Then she takes a right turn and walks for 5 m. Then, again, she takes a right turn and walks for 4 m. One more time she takes a right turn and walks for 10 m. Then she takes a left turn and walks for 4 m before stopping at point Q. Towards which direction should she walk in order to reach Point P again? (All turns are 90-degree turns only unless specified.)
- Amita walks towards north for 5 m from point A. Then she takes a right turn and walks for 8 m. Then, again, she takes a right turn and walks for 3 m. Once again, she takes a right turn and walks for 2 m. Then she takes a left turn and walk for 2 m and stops at point B. Towards which direction should she walk in order to reach point A again? (All turns are 90-degree turns only unless specified.)
In the morning X and Y are walking towards each other in a park. When they meet each other, Y’s shadow falls straight in front of X. In which direction was X facing?
Mr. X starts from point ‘A’ travels 80 km towards west, takes a left turn, travels 50 km and reaches point ‘B’. What is the shortest distance between points ‘A’ and ‘B’?
A postman starts from the post office and cycles 13 km south, then turns west and cycles 10 km, then turns north and cycles 8 km, then turns east and cycles 2 km and then turns to his left and cycles 5 km. Where is he now with reference to his starting position?
Samarth heading towards north walked 10 m, he turns right and walks for 4 metres and then he turns left and walks 6 m. In which direction he is walking at last?
Samarth walks 10 kms towards east, then takes a right turn and walks 8 kms and again takes a left and walks 6 kms. In which direction is Samarth with respect to his starting position?
Important Questions from Direction and Distance
Sita took an auto from her home in Andheri (A) to go to her college in Fatehpuri (F). Rather than continuing straight on the direct road to the college that had no turns, the auto driver took a diversion after 10 km and tumed right at Bandra (B) crossing, then at Colaba T- point (C) after 8 km turned left, again after covering 12 km turned left at Dalhousi Building (D) and soon after 8 km turned right at Elphinston point (E) and after covering 4 km reached Fatehpuri (F). Had the auto driver taken the direct route how much less distance would Sita have actually travelled between the starting point and the destination?
Radha walks a distance of 9 m towards the South-East. Then she walks 15 m towards the West. From here, she walks 9 m towards the North-West. Finally she walks 6 m towards the East and stands at the point. How far is she standing from the starting point?
According to the time by Nihaal's watch its half past one and the hour hand is pointing towards the north-east. Assuming that there is no change in Nihaal's position, in which direction would the minute hand point after 30 minutes?
According to the time by Rohan's watch, it is half past 6 and the watch's hands are pointing to the south. In which of the given directions will the minute-hand point AFTER exactly 24 hours?
According to the time by Rick's watch its quarter past eight. If the minute hand points towards the east, towards which direction would the hour hand point?
