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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?

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

Original Poster

nope.

Original Poster

nope...lol

Original Poster

woo, finally. someone else with a bit of logic

or ability to use google:-D

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

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

spot on:thumbsup::w00t:

Smarty pants!!!:p

answers.yahoo.com/que…9ey :-D

Original Poster

HAHAHA, a google cheat found.

not cool

+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

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

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

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

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