Puzzle 37 : Chess club

This puzzle is from popular-mechanics.

Amanda lives quite close to her son Mat's school. Every evening she leaves exactly at the same time and travels in her car in a constant speed and picks up Mat after his chess club ends at 5 pm and brings him back at the same constant speed.

One day, Mat is having a headache and leaves chess club early and starts going home in his portable scooter in their usual route. After he has been scooting for an hour, Amanda meets him on the road, picks him up and they come home together in her car. They reach home 40 minutes earlier than usual.

How much of the chess practice did Mat miss?

Find the solution here.

Puzzle 15 : All but two

Solution to puzzle 14 Huh, sending more money would have been much easier than this puzzle. SEND MORE MONEY We have to find values for S,E,N,D,M,O,R,Y (8 digits out of 10). Now, we're adding two 4-digits numbers. Since 9999+9999 < 20000, M cannot be >=2. And by the "usual rules" for this kind of question, it can't be 0. So M=1 . Now, looking at the fourth (left-most) column, we have either S+1>=10 (if there's no carry) or 1+S+1>=10 (if there's carry). So S=8 or 9 , and O=0 or 1 . Since 1 is already taken, O=0 In the third column, we can't have E+0=N (no carry), so E+1=N and there's carry from the second column. So in the second column either N+R=10+E=9+N, and R=9, or there's carry and 1+N+R=10+E=9+N, and R=8. So R=8 or 9 , just like S. IF S=8 and R=9,we're looking at 8END + 109E ====== 10NEY But this cannot possibly work: we need to get either E+0=10+N or 1+E+0=10+N i...

Puzzle 47

Solution: First and last chests have treasure in them. Explanation : Message 1 says that middle chest has treasure. Since all messages are false, middle chest has no treasre. Message 2 says that all these chests have treasure. Which means at least one of them does not have treasure (and has poison). Which is middle chest. Message 3 says that only one of the chests has treasure. As this is false, more than one of the chests have treasure. As middle one has no treasure, the other two - first and last have treasure.

Puzzle 19 : Water, water everywhere

I know I have been greatly missed all this time. ;) Any ways, let us have some more fun with numbers and logic. Water, water everywhere This is an interesting puzzle from the website mathisfun. The cold tap in my bath lets the water in at the rate of 15 litres per minute. The hot tap fills the bath at the rate of 10 liters per minute. The plug hole lets the water out of the bath at the rate of 12 liters per minute. The bath holds a maximum of 520 liters. I turn both taps on, but forget to put the plug in. How many minutes does it take for the bath to overflow? Let me reiterate the statement by the original author here. Don't try this at home. Water is precious. Find the solution here

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