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Puzzle 201
During a recent trip to Scotland, I filled my car's 10 gallon fuel tank to the very top.
I travelled at 60 mph up the motorway, and I knew that I averaged exactly 40 miles per gallon.
However, the moment I started, my fuel tank developed a leak, and four hours later I came to a complete stop as I'd run out of fuel!
Hint
It doesn't matter what the distance is, so try a random distance.
Answer
This cannot be done.
It does not matter how far the trip is, let's assume that it is random distance, say 60 miles, and remembering that Time = Distance ÷ Speed.
The morning trip took 60 miles ÷ 30 mph = 2 hours.
To average the required 60 mph, we would have to travel the total distance (of 120 miles) in 2 hours. However, we've already used all of the two hours for the morning trip!
Choosing any random distance would also show that it can't be done.