David was known as being lazy. He agreed to work on a job for his brother-in-law for thirty hours at eight dollars an hour, on the condition that he would forfeit ten dollars per hour for every hour that he idled. At the end of the thirty hours David wasn't owed any money and didn't owe his brother-in-law any money either. How many hours did Larry work and how many hours did he idle?
Lazy David worked 16-2/3 hours and idled 13-1/3 hours. 16 and 2/3 hours, at $8.00 an hour amounts to the same amount as 13 and 1/3 hours at $10.00 per hour.
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?
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.
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