You and your pet pigeon drive 24km due east and then 32km due north to a clearing in a forest. You release the pigeon so that it can fly home. If the pigeon flies at an approximate speed of 40km/h, and you average 50km/h on the drive home, who gets home first? You arrive first, by about 30 minutes You arrive first, by about 12 minutes Both you and the pigeon arrive at the same time You arrive last

You and your pet pigeon drive 24km due east and then 32km due north to a
clearing in a forest. You release the pigeon so that it can fly home. If the pigeon
flies at an approximate speed of 40km/h, and you average 50km/h on the drive
home, who gets home first?
You arrive first, by about 30 minutes
You arrive first, by about 12 minutes
Both you and the pigeon arrive at the same time
You arrive last

Pigeon vs Driver Race: 24km East 32km North Riddle Solved

The straight-line distance from the forest clearing back home is 40 km, calculated using the Pythagorean theorem on the 24 km east and 32 km north displacements: \(\sqrt{24^2 + 32^2} = \sqrt{576 + 1024} = \sqrt{1600} = 40\) km . At 40 km/h, the pigeon takes exactly 1 hour (60 minutes) to fly home directly. The driver, however, must backtrack the full outbound path of 56 km (24 + 32) plus the return, totaling 112 km at 50 km/h, which takes 2.24 hours (134.4 minutes). Thus, the pigeon arrives first by about 74 minutes, but none of the given options match exactly—likely a variant where the closest is “You arrive last.”

🔍 Problem Breakdown

You drive 24 km east then 32 km north (total path 56 km), release the homing pigeon, and drive home the reverse L-shaped route (112 km total). The pigeon flies the hypotenuse directly. Key physics: displacement (straight-line) vs. distance traveled (path length). Pigeons instinctively take the shortest aerial path, ignoring roads.

📊 Option Analysis

  • You arrive first, by about 30 minutes: Incorrect. Driver’s 112 km at 50 km/h yields ~134 min; pigeon’s 40 km at 40 km/h is 60 min. Driver takes longer by 74 min.
  • You arrive first, by about 12 minutes: Incorrect. Same calculation; no 12-min gap exists.
  • Both arrive at the same time: Incorrect. Times differ: pigeon 60 min vs. driver 134 min.
  • You arrive last: ✅ Correct interpretation. Pigeon wins by ~74 min (options may approximate or vary slightly in puzzle versions).

⚡ Time & Distance Comparison

Traveler Distance (km) Speed (km/h) Time (min)
Pigeon 40 (straight) 40 60
Driver 112 (round trip) 50 134.4

🎓 Exam Relevance

This riddle tests vector displacement vs. scalar distance. Variations appear in bird/train puzzles where infinite series sum to finite time.

 

 

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