All Puzzles
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John walks over a railway-bridge. At the moment that he is just ten meters away from the middle of the bridge, he hears a train coming from behind. At that moment, the train, which travels at a speed of 90 km/h, is exactly as far away from the bridge as the bridge measures in length. Without hesitation, John rushes straight towards the train to get off the bridge. In this way, he misses the train by just four meters! If John had rushed exactly as fast in the other direction, the train would have hit him eight meters before the end of the bridge.
What is the length of the railway-bridge?
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Every day, John takes the train to travel from his work back to Mexico City, his place of residence. Usually, he arrives at the station of Mexico at six o’clock, and exactly at that moment, his wife picks him up by car. Yesterday evening, John took an earlier train, without informing his wife, and therefore he already was at the station of Mexico at five o’clock. He decided to walk part of the way to meet his wife. When he met the car with his wife, he drove home with her. In this way, they were home ten minutes earlier than normal. John’s wife always drives the entire way between home and station at the same constant speed.
How long did John walk yesterday evening?
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Jacob ans Jenny have six children: Donald, Rebecca, Michael, Faye, Solomon, and Lara. Jenny is pregnant of her seventh child, a girl. Jacob and Jenny have chosen a name for her that fits with the other names.
What will be the name of the seventh child: Jessica, Karen, Abby or Tilly?
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Mr. Dutch, Mr. English, Mr. Painter, and Mr. Writer are all teachers at the same school. Each teacher teaches two different subjects. Furthermore:
three teachers teach Dutch language;
there is only one maths teacher;
there are two teachers for chemistry;
two teachers, Simon and Mr. English, teach history;
Peter does not teach Dutch language;
Steven is chemistry teacher;
Mr. Dutch does not teach any course that is taught by Karl or Mr. Painter.What is the full name of each teacher and which two subjects does each one teach?
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There is a car with a flat roof, on a plain level road. There is a helium balloon in the car, barely scraping the roof – any slight force will move it. You start the car and accelerate forward very fast. Does the balloon move with respect to the car? If so, how ? (No any trick and no any air from window)
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You are a contestant on the Jacob game show. Three closed doors are shown before you. Behind one of these doors is a Bike; behind the other two are Goats. The contestant does not know where is the bike, but Jacob does.
The contestant picks a door and Jacob opens one of the remaining doors, one he knows doesn’t hide the bike. If the contestant has already chosen the correct door, Jacob is equally likely to open either of the two remaining doors.
After Jacob has shown a goat behind the door that he opens, the contestant is always given the option to switch doors. What is the probability of winning the bike if he stays with his first choice? What if he decides to switch?
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