Mr. Yorly starts from Point A and drives 16 km towards South. He then takes a right turn, drives 14 km, turns right and drives 44 km. He then takes a right turn and drives 2 km, turns right drives 15 km. He then takes a left turn drives 21 km. He takes a final right turn, drives 13 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 degrees turns only unless specified.)
9 km to the West
Take A as origin with East as +x and North as +y, and track the facing direction after each 90° turn.
Drive 16 km South (facing S): position (0, −16).
Right turn (S → W), drive 14 km: position (−14, −16).
Turn right (W → N), drive 44 km: position (−14, 28).
Right turn (N → E), drive 2 km: position (−12, 28).
Turn right (E → S), drive 15 km: position (−12, 13).
Left turn (S → E), drive 21 km: position (9, 13).
Final right turn (E → S), drive 13 km: position (9, 0). This is Point P.
P is at (9, 0) and A is at (0, 0): same y, so P is due East of A by 9 km. To return to A he must drive 9 km towards the West.
Hence the shortest distance is 9 km to the West.
Similar Questions
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- Read the given paragraph carefully and answer the question.
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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?
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?
