Florine and Harry: the LEGENDARY... fly and horse...oh
Harry the horse walks at 75 meters per minute. Florine flies at 150 meters per minute. Florine, who is sitting on Harry's nose while he is walking, flies forward for one minute and returns to Harry's nose, all the while Harry is walking forward. How many meters did Harry walk from the time Florine flew forward and back to his nose?
The answer is 100.
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1 solution
So Florine starts by flying 150 meters in 1 minute. During this 1 minute, Harry walks 75 meters so now Harry and Florine are 75 meters apart. Since they fly now in opposite directions, they travel at 225 meters per second (150+75) relative to each other. Since, they only need to travel 75 meters, 75/225=1/3. This means that they get to each other in only 1/3 of the time. In 1/3 of the time, Harry walks 25 meters. So Harry walks a total of 100 meters because he walks 75 meters while Florine is traveling forward and 25 meters when Florine travels back.