Solve Hard Math Riddle: Commuter & Wife Puzzle

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In summary, a commuter who usually arrives at his suburban station at 5 PM takes an earlier train and arrives at 4 PM. He decides to walk along the route his wife usually drives and they meet along the way. They then drive home and arrive 10 minutes earlier than usual. If the wife always drives with a constant speed and left just in time to meet the 5 PM train, the question is how long the husband walked before he was picked up.
  • #1
Physic lover
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Hello everybody
Here is a wicked math riddle. Go ahead and see if you can solve it
A commuter is in the habit of arriving at his suburban station each evening at exactly five o’clock. His wife always meets the train and drives him home. One day he takes an earlier train and arrives at his station at four o’clock. The weather is pleasant so instead of telephoning home, he starts walking along the route always taken by his wife. They meet somewhere along the way.
He gets into the car and they drive home arriving ten minutes earlier than they usually do. Assuming that the wife always drives with a constant speed, and on this particular occasion she left just in time to meet the five o’clock train, can you determine how long the husband walked before he was picked up?
The source is my best mathematical and logic puzzles book
 
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  • #2
Interesting puzzle (but not hard in my opinion)

Hint:
Draw a sketch

The arrival time of the first train does not matter. It is not possible (and not relevant) to determine the time it takes to drive home.
 
  • #3
As far as I can see, if the question was changed to "At what time was the man picked up?" you wouldn't even need to know when the earlier train arrived.
 

What is the "Commuter & Wife Puzzle"?

The "Commuter & Wife Puzzle" is a popular riddle that involves a man who commutes to work and his wife who stays at home. The man has to figure out a way to make sure his wife knows when to start cooking dinner, without directly communicating with her.

What is the objective of the puzzle?

The objective of the puzzle is for the man to come up with a solution that allows his wife to know when to start cooking dinner, without directly communicating with her or using any form of technology.

What is the solution to the "Commuter & Wife Puzzle"?

The solution to the puzzle is for the man to leave a note for his wife with a message that she can see when she wakes up in the morning. The message should contain a simple math equation, such as "2+2," and the answer should correspond to the number of letters in the word "dinner." For example, "2+2=4" would mean that the wife should start cooking dinner at 4pm.

Why is this considered a hard math riddle?

This puzzle is considered a hard math riddle because it involves thinking outside of the box and using basic math skills to come up with a solution. It also requires a bit of creativity and problem-solving abilities.

Are there any variations to the "Commuter & Wife Puzzle"?

Yes, there are variations to this puzzle, such as using different math equations or having different scenarios, but the main objective remains the same - for the man to find a way to indirectly communicate the dinner time to his wife.

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