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IMAS 2021–2022 Junior — Round 1 Question 12

IMAS · IMAS 2021–2022 Junior — Round 1

Question 12

The distance between Frankfurt and New York is 6750 km and the time difference between both cities is 6 hours. If it is 08:00 in New York right now, then it is 14:00 already in Frankfurt. At 15:00 Frankfurt time, an Airbus 320 with a cruising speed of 700 km/h departs from Frankfurt to New York. While at 10:00 New York time, a Boeing 787 plane with a cruising speed of 800 km/h departs from New York to Frankfurt. The route goes over the Atlantic Ocean and it is known that there is a constant wind blowing from New York to Frankfurt at a speed of 100 km/h. It is also known that the Airbus 320 cannot fly more than 5 hours without re-fueling, while the Boeing 787 can fly for over 12 hours without re-fuelling. The Airbus 320 will need to re-fuel at a small airport, which is 2400 km from Frankfurt. The re-fuelling and take-off will require 1 hour in total. What will be the time in New York when the two planes meet assuming they fly the same trajectory?
  1. 13:30
  2. 14:30
  3. 15:30
  4. 16:30
  5. 20:30