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# ><> Logic Question <><

If a watch is showing a time of quarter past 3, what is the angle between the hour and the minute hand?

360 :?

Know that I'm tired, but surely this is zero degrees? As the hands are both together...

180 degrees

Original Poster

leet_first;7100422

Know that I'm tired, but surely this is zero degrees? As the hands are … Know that I'm tired, but surely this is zero degrees? As the hands are both together...

michaelanderson;7100423

180 degrees

muckypup;7100419

360 :?

nope.

45 degrees:?

0 :?:?:thinking:

very, very acute

3 degrees?

Original Poster

renown;7100435

45 degrees:?

muckypup;7100451

0 :?:?:thinking:

nope...lol

7.5 where's my prize???:thumbsup:

7.5 ?

Original Poster

Captain Hook;7100465

7.5 where's my prize???:thumbsup:

woo, finally. someone else with a bit of logic

scales23;7100472

woo, finally. someone else with a bit of logic

7.5 degrees.....

Well, each minute mark is 6 degrees, and the hour hand will move 6 degrees every 12 minutes.

So in 15 minutes, the hour hand has moved 6 + (3/12)(6) = 7.5 degrees. And since the minute hand is now exactly on the 3, the distance between them is the same.

7.5 degrees

scales23;7100472

woo, finally. someone else with a bit of logic

Yeah well i did'nt have a clock to hand did I :whistling:

michaelanderson;7100479

spot on:thumbsup::w00t:

arcangel111;7100481

7.5 degrees.....Well, each minute mark is 6 degrees, and the hour hand … 7.5 degrees.....Well, each minute mark is 6 degrees, and the hour hand will move 6 degrees every 12 minutes.So in 15 minutes, the hour hand has moved 6 + (3/12)(6) = 7.5 degrees. And since the minute hand is now exactly on the 3, the distance between them is the same.7.5 degrees

Smarty pants!!!:p

Original Poster

michaelanderson;7100516

This is first result you get when you search question through … This is first result you get when you search question through googlehttp://answers.yahoo.com/question/index?qid=20060809133010AAN39ey :-D

arcangel111;7100481

7.5 degrees.....Well, each minute mark is 6 degrees, and the hour hand … 7.5 degrees.....Well, each minute mark is 6 degrees, and the hour hand will move 6 degrees every 12 minutes.So in 15 minutes, the hour hand has moved 6 + (3/12)(6) = 7.5 degrees. And since the minute hand is now exactly on the 3, the distance between them is the same.7.5 degrees

not cool

what is the internet for if not cheating? lol

7.5......... its 30 divided by 4

arcangel111;7100538

what is the internet for if not cheating? lol

+1:thumbsup:
I was just about to post it but got beat to it

maybe next time eh

michaelanderson;7100544

+1:thumbsup:I was just about to post it but got beat to it

just goes to show if your good at maths then i's a lot quicker to work it out than to google an answer

michaelanderson;7100479

Better than taking a wild guess at 180 degrees tho' :whistling:

Cotterpin;7100892

Better than taking a wild guess at 180 degrees tho' :whistling:

Wasnt a wild guess as 180 degrees is a straight line:thumbsup:

arcangel111;7100481

7.5 degrees.....Well, each minute mark is 6 degrees, and the hour hand … 7.5 degrees.....Well, each minute mark is 6 degrees, and the hour hand will move 6 degrees every 12 minutes.So in 15 minutes, the hour hand has moved 6 + (3/12)(6) = 7.5 degrees. And since the minute hand is now exactly on the 3, the distance between them is the same.7.5 degrees

but then sureley 7.5 is just the amount of degrees the hour hand has moved to get to the same position as the minute hand, not the actual distance between them

Here is my logic.

At 3:00 the hour hand would be exactly on the 3.
At 4:00 the hour hand would be exactly on the 4.

So in 1 hour the hour hand moves 1/12 of the way round the clock. 1/12 of 360 is 30 degrees.
In the 15 minutes from 3:00 the hour hand will have moved 1/4 round the clock (and be pointing exactly at 3), and so the hour hand will also have moved 1/4 of the way between 3 and 4. Therefore the angle between the hour hand and the minute hand is 1/4 of 30 degrees.

So 1/4 of 30 degrees (angle between 3 and 4) is 7.5

I did it in my head in a matter of seconds, do people really find simple stuff like this hard to do? Is that a reflection on the state of British education these days?