Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

Pages: **1**

**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

Alfred, Benjamin, Cuthbert, Donald, Ernie and Fred each have a special clock, and they all have a special property.

They all have a butler who hears the church bell chime the hour and so rushes around to set each clock to the correct time, since they mostly don't keep it themselves...

Alfred's clock shows the correct time.

Benjamin's clock has lost 2 hours and 5 minutes since being set.

Cuthbert's clock runs at half-speed.

Donald's clock is broken.

Ernie's clock gains 10 minutes every hours.

Fred's clock works backwards.

At the moment, the clocks read 10:30, 5:30, 12:45, 7:05, 3:25 and 8:00, in no particular order.

What is the time now?

Why did the vector cross the road?

It wanted to be normal.

Offline

**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,663

I kind of understand BUT if the butler hears the church bell chime the hour, how can one clock (Benjamins) be more than one hour wrong. Do we assume the church bell does not chime at night?

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

Offline

**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

Sorry, I forgot to mention that the butler only did that once. This means that the amount of time passed since he did that could be, and is, more than an hour. Also, the clocks are all analogue, so they display 12-hour time.

Why did the vector cross the road?

It wanted to be normal.

Offline

**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 23,196

Clue No.1 :- First, figure out what time the clocks were set

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

5:30.

You only need the first two clues. Then just look at which two times differ by 2 hours 5 minutes.

Offline

**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

Heh, nice solution. I completely missed that.

Why did the vector cross the road?

It wanted to be normal.

Offline

**justlookingforthemoment****Moderator**- Registered: 2005-05-26
- Posts: 2,161

Going green now, mathsy?

Offline

**lightning****Real Member**- Registered: 2007-02-26
- Posts: 2,060

going blue justlookingforthemoment?

and our colours match our avatar strange but cool

*Last edited by lightning (2007-03-17 10:29:16)*

Zappzter - New IM app! Unsure of which room to join? "ZNU" is made to help new users. c:

Offline

**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

justlookingforthemoment wrote:

Going green now, mathsy?

It's to celebrate St. Patrick's day. So going by **Green**wich Mean Time, I've got about an hour of greenity left.

Why did the vector cross the road?

It wanted to be normal.

Offline

**justlookingforthemoment****Moderator**- Registered: 2005-05-26
- Posts: 2,161

Ohh right! That makes a lot of sense! Happy St Pat's Day.

Offline

**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Ooh

And Ireland sooo almost won the Six Nations today. What a shame.

Offline

**lightning****Real Member**- Registered: 2007-02-26
- Posts: 2,060

i think i will go wait let me see if theres gold.....

happy st patrick dayhappy patricks day

Zappzter - New IM app! Unsure of which room to join? "ZNU" is made to help new users. c:

Offline

Pages: **1**