An old riddle

An old riddle

In a Easter meal, ten dozens of eggs were ate, one behind the other, without pause. On the first dish they consumed 30 eggs at a rate of 3 eggs per minute, which took 10 minutes.

On the second dish, 30 eggs were ate, 2 every minute, which took 15 minutes.

Finally, on the third dish the 60 eggs were ate, at first 3 and then 2 per minute, alternatively, making an average of 5 eggs every two minutes.

"Without having to eat the coconut with mathematics," said Dutch Frank, the barber who explained this problem to me "Tell me how long it would have taken to eat those ten dozen eggs if there had been half the guests in the food."

Solution

Many fans were confused in at least two of the traps of this version of this old riddle.

When it is said that they needed 10 minutes to eat 30 eggs on the first dish, at a rate of 3 eggs per minute, and 15 more minutes to eat 30 more at a pace of two eggs per minute, this gives us 60 eggs in 25 minutes.

But during the third dish 60 more eggs were ate, first 3 per minute and then 2 per minute, thus making an average of 5 eggs every 2 minutes. And make 60 eggs in 24 minutes. With what in total the eggs of the three dishes were ate in 49 minutes.

But the barber wanted to know how long the eggs had taken half of the guests of those who had. The mathematicians said that if the eggs ate in 49 minutes, half the guests had needed twice as much time, that is 98 minutes. It was our fans who discovered that the eggs, which should be small because they ate them one person! It was a very exclusive meal of a person, so half of the guests had not been able to eat none! Take the times that are given to you. 30 eggs in 10 minutes, then 30 in 15 and 60 in 24 and you will see that only the eggs were ate one behind the other and, as you are told, they ate without pause, that is, a person is needed to do the job.

More than one must have realized that the last 60 eggs ate, first three per minute and then two per minute. How could two people eat three eggs? Or how could three people eat two?