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Between 12:24 and 14:36 the HOUR hand of a clock turns by how many degrees?

Between 12:24 and 14:36 the MINUTE hand of a clock turns by how many degrees?

1 minute is 360/60 = 6 degree
So minute hand turned 36-24 = 12*6 = 72 degree

For hour hand, it is a bit tricky because the hour hand also move according to minute hand.

1 hour = 360/12 = 30 degree
At 12.24, the hour hand is at 24/60 * 30 = 12 degree from 12 pm
At 14.36, the hour hand is at 36/60 * 30 = 18 degree from 14 pm = 30+30+18 = 78 degree from 12 pm

Re: Between 12:24 and 14:36 the HOUR hand of a clock turns by [#permalink]

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21 Jul 2014, 22:59

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Between 12:24 and 14:36 the HOUR hand of a clock turns by [#permalink]

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25 Feb 2015, 16:12

I solved it by drawing the clock and dividing it in quarters, each quarter being 90 degrees.

So, each quarter is further divided into 3 equal parts, each one of which is 30 degrees.

We are basically interested in the minutes.

So, from 00.24 to 00.29 we have 30 degrees. From 00.29 to 00.34 we have another 30 degrees. From 00.34 to 00.36 we have some additional degrees.

So, in total, we have 60 degrees plus a little bit. 66 is the closest value... So, B it is.

And we can actually end up with 66, as well, since each 30 degree part is divided in 5 equal parts, so 30/5=6. We have one of these additional parts, which leads to 60+6=66.

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Between 12:24 and 14:36 the HOUR hand of a clock turns by
[#permalink]
25 Feb 2015, 16:12

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