Mental puzzles - can you solve them?!

[Conor]

Originally Posted by Adrian Kelland

1) A rope ladder hangs over the side of a boat at sea. The bottom rung is 1m clear of the water. As the tide rises at 20cm/hour, how long does it take to reach the bottom rung?


2) You are 60 miles miles from your destination and have 1 hour to get there. You do half the distance at 30mph. What speed must you do to get there in time?

Tsk Tsk, two trick questions

[turbanator]

Originally Posted by Adrian Kelland

1) A rope ladder hangs over the side of a boat at sea. The bottom rung is 1m clear of the water. As the tide rises at 20cm/hour, how long does it take to reach the bottom rung?

It doesn't reach it.

Originally Posted by Adrian

2) You are 60 miles miles from your destination and have 1 hour to get there. You do half the distance at 30mph. What speed must you do to get there in time?

You're late already?

[Juz]

Originally Posted by Conor

Spot on Juz

Send the 2 and the 1 minute guys over = 2 mintues
Return the 2 minute guy = 2 mins
send the 5 and 10 minute guys over = 10 mins
send the 1 minute guys back = 1 min
select the 2 and 1 minute guys back = 2 min

So 17 minutes total

You can switch round the 1 & 2 minute guys too.

Wont let me green you tho.

Juz

[greekbird]

Originally Posted by Adrian Kelland

1) A rope ladder hangs over the side of a boat at sea. The bottom rung is 1m clear of the water. As the tide rises at 20cm/hour, how long does it take to reach the bottom rung?

very funny adrian. the boat floats, the tide will never reach the rope.

[greekbird]

Originally Posted by Conor

Spot on Juz

Send the 2 and the 1 minute guys over = 2 mintues
Return the 2 minute guy = 2 mins
send the 5 and 10 minute guys over = 10 mins
send the 1 minute guys back = 1 min
select the 2 and 1 minute guys back = 2 min

So 17 minutes total

oooooohhhhhhh!
(feeling very stupid!)

[Conor]

Oldy but goody

Three people are standing on some stairs. They are each wearing a hat. They are only allowed to face forwards, so they cannot see the colour of their own hat, only the colour of the hat of the one or two people in front of them (depending in which position they are). The hats they are wearing have been chosen from a pile of two red hats and two blue hats.



All three men will be shot in one minute unless one of them shouts out (correctly!) the colour of their own hat. Who shouts out and how do they know the colour of their hat? (Work out the answer for the most difficult situation!)

[greekbird]

Originally Posted by Conor

Oldy but goody

Three people are standing on some stairs. They are each wearing a hat. They are only allowed to face forwards, so they cannot see the colour of their own hat, only the colour of the hat of the one or two people in front of them (depending in which position they are). The hats they are wearing have been chosen from a pile of two red hats and two blue hats.



All three men will be shot in one minute unless one of them shouts out (correctly!) the colour of their own hat. Who shouts out and how do they know the colour of their hat? (Work out the answer for the most difficult situation!)

dunno, how 'd they know?

[Juz]

Originally Posted by Conor

Oldy but goody

Three people are standing on some stairs. They are each wearing a hat. They are only allowed to face forwards, so they cannot see the colour of their own hat, only the colour of the hat of the one or two people in front of them (depending in which position they are). The hats they are wearing have been chosen from a pile of two red hats and two blue hats.



All three men will be shot in one minute unless one of them shouts out (correctly!) the colour of their own hat. Who shouts out and how do they know the colour of their hat? (Work out the answer for the most difficult situation!)

I know this one too - it was going to be my next post lol

Juz

[Spider]

Got it

OK
- if the bloke at the back can see two red hats in front he must have a blue hat and shouts out

- if the bloke at the back can see two blue hats in front he must have a red hat and shouts out

- if the bloke at the back can see one red and one blue hat in front he doesn't know and keeps quiet
The middle bloke knows that he and the bloke in front have different hats so if the bloke in front has a blue hat the middle bloke has a red hat and vice versa, so he shouts out

Don't think I did it in one minute though!

[Conor]

Exactly