The Sisyphus monastery is on a hill, and every day donkeys climb the hill carrying water from the well in the valley. There are many donkeys, and they leave the well (at the bottom of the hill) every 15 minutes. They take one hour to climb the hill, 10 minutes to unload their water, and then half an hour to return to the well.

When a donkey goes uphill carrying water, in the middle of the day, how many does it pass coming down?

A container ship is overtaking an oil tanker on the way out of Harwich Harbor, and the first mate notices that if he starts walking from the front of the container ship when the two ships start overlapping, he reaches the back as the two ships separate. He walks at 3 km/hour.

If the container ship is 100 m long, and traveling at 12 km/hour, how long is the oil tanker?

Question

29-03-2025
Mathematics

High School

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The Sisyphus monastery is on a hill, and every day donkeys climb the hill carrying water from the well in the valley. There are many donkeys, and they leave the well (at the bottom of the hill) every 15 minutes. They take one hour to climb the hill, 10 minutes to unload their water, and then half an hour to return to the well.

When a donkey goes uphill carrying water, in the middle of the day, how many does it pass coming down?

A container ship is overtaking an oil tanker on the way out of Harwich Harbor, and the first mate notices that if he starts walking from the front of the container ship when the two ships start overlapping, he reaches the back as the two ships separate. He walks at 3 km/hour.

If the container ship is 100 m long, and traveling at 12 km/hour, how long is the oil tanker?

Answer :

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kumarprabhat kumarprabhat · Answer 1 · 2024-10-03T21:07:43-04:00

Since it takes one hour for a donkey to climb the hill, 10 minutes to unload, and half an hour to return to the well, the total time for a round trip is 1 hour + 10 minutes + 30 minutes = 1 hour and 40 minutes.

Since the donkeys leave the well every 15 minutes, in one hour and 40 minutes, there are 100 minutes. Therefore, the number of donkeys passing the middle point during this time is 100 minutes / 15 minutes = 6.67.

Since we cannot have a fraction of a donkey, we round down to the nearest whole number. Thus, the donkey going uphill carrying water passes 6 donkeys coming down.

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