An ant gets onto one end of a tight rope that is 1 meter long. The ant is traveling at 1 centimeter per second, but the entire rope is being stretched an extra 1 meter (1,000 centimeters) a second (it can be stretched forever).
Will the ant ever reach the other end of the rope?
It can't be seen, can't be felt, can't be heard and can't be smelt. It lies behind stars and under hills, and empty holes it fills. It comes first and follows after, ends life and kills laughter. What is it?
My love, when I gaze on thy beautiful face,
Careering along, yet always in place -
The thought has often come into my mind
If I ever shall see thy glorious behind.
It’s true I bring serenity,
And hang around the stars
But yet I live in misery;
You’ll find me behind bars
With thieves and villains I consort
In prison I’ll be found
But I would never go to court,
Unless there’s more than one
Walking home one day, you take a short cut along the train tracks. The tracks cross a narrow bridge over a deep gorge. At the point you are 3/8 of the way across the bridge, you hear the train whistle somewhere behind you. You charge across the bridge, and jump off the track as the train is about to run you down. As it happens, if you had gone the other way, you would have reached safety just before being run over as well. If you can run ten miles per hour, how fast is the train moving?
The train is moving at 40 miles per hour.
if there was a dog going towards the train while you go away from it as the whistle blows, he will reach his point when you are 3/4 (6/8) of the way on the bridge, the train will have just reached it. So for the train to cross the bridge at a rate four times yours it will have to be moving 4 times as fast.
You've got a sack of corn, a chicken, and a fox. You have to cross a river, but you can only carry them one at a time. If you leave the chicken with the sack of corn, the chicken will eat the corn. If you leave the fox alone with the chicken, the fox will eat the bird.
How can you get all three things across the river safely?
Cross the river with the chicken, then go back and carry the corn over the river. However, instead of leaving the corn with the bird, return together with the chicken. Cross the river for the third time with the fox, leaving the chicken behind. Leave the fox with the sack of corn, and return for the last time to get the chicken. Done!
You have been given the task of transporting 3,000 apples 1,000 miles from Apple-York to Strawberry-Ville. Your truck can carry 1,000 apples at a time. Every time you travel a mile towards Strawberry-Ville you must pay a tax of 1 apple but you pay nothing when going in the other direction (towards Apple-York).
What is highest number of apples you can get to Strawberry-Ville?
833 apples.
How to solve:
You need to make 3 trips of 1,000 apples - 333 miles. You will be left with 2,001 apples and 667 miles to go.
Next you want to take 2 trips of 1,000 apples 500 miles. You will be left with 1,000 apples and 167 miles to go (you have to leave an apple behind).
Finally, you travel the last 167 miles with one load of 1,000 apples and are left with 833 apples in Strawberry-ville.
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