[Guest]

Which is larger, the number of seconds in a day or the number hours in 10 years?

do leap years count?

Edited October 21, 2010 by matthew laming

[Guest]

60*60= 360

360 * 24 = seconds in a day

365*24 = hours in 1 year.

so hours in 10 years...

but number hours...hmm.larger?hmm...number?...hmmm

what am i overlooking?

[Guest]

60*60= 360

360 * 24 = seconds in a day

365*24 = hours in 1 year.

so hours in 10 years...

but number hours...hmm.larger?hmm...number?...hmmm

what am i overlooking?

what is 60*60 again? think thats your problem

[Guest]

# of seconds in a day is 86400 (60*60*24)

# of hours in a year is 8760 or 8784 for leap years. (365*24, 366*24)

Multiple by 10 and you get 87,600 minimum so number of hours in 10 years is always larger even if you don't include any leap years. But any 10 year period will have either 2 or 3 leap years.

[Guest]

Seconds in a day = s * m * h = 60 * 60 * 24 = 360 * 10 * 24 = 360 * 240

Hours in 10 years = h * d * y + 2h = 24 * 365 * 10 + 48 = 365 * 10 * 24 + 48 = 265 * 240 + 48

Dividing them will result in: Seconds in a day/Hours in 10 years = 360 * 240/365 * 240 + 48, we remove the multiplication by 240 from both the numerator and get

360/365 + 48, which is equal to 360/413;

So, the hours are more. Even if not counting the leap years.

Nice question though.

Edited October 21, 2010 by Ianis G. Vasilev

[Guest]

86,400 seconds in a day, 87,600 hours in ten years. So what's the catch?

[Guest]

How about the leap years?

[Guest]

How about the leap years?

Ianis G. Vasilev got it. no catch.

[Guest]

what is 60*60 again? think thats your problem

At 8 in the morning, still half asleep and in a rush its 360 . but every other time (like now) its 3600

[Thalia]

Each year has 365.25 days so after 4 years, we add an extra day because we are not going to count the quarter day every year. So. . . 365.25*24*10>60*60^24.

[Guest]

Lol i was surprised by the result!Nice one dude!

A day has 24 hours and every hour has 60 minutes of 60 seconds 60 * 60 * 24 = 86400

(Mathematicians have agreed that in calculations, all months have 30 days so:)

A year has 12 moths that have 30 days that have 24 hours 24*30*12*10(Ten years) = 86400

86400 = 83400 => The hours of ten years are the same number as the seconds in a day

[Guest]

But what the mathematicians have agreed (Which of them, by the way?) doesn't make a year contain only 360 days.

[Guest]

But what the mathematicians have agreed (Which of them, by the way?) doesn't make a year contain only 360 days.

It is something general to help the calculation in mathematical things just like this one.The same way we have agreed with each other that when we calculate the Volts in a electric device and we suppose that the wires have no ressistance.However when we measure it we get the real numbers.Think of it the same way....it is an agreement to make our lives easier.If we took this puzzle more literal we wouldn't know in witch month we were in, and how many times to count the fact that February has 29 days every 4 years (i think?)

Edited October 21, 2010 by Tsopi

[k-man]

It is something general to help the calculation in mathematical things just like this one.The same way we have agreed with each other that when we calculate the Volts in a electric device and we suppose that the wires have no ressistance.However when we measure it we get the real numbers.Think of it the same way....it is an agreement to make our lives easier.If we took this puzzle more literal we wouldn't know in witch month we were in, and how many times to count the fact that February has 29 days every 4 years (i think?)

It doesn't matter what month you start from and you don't need to worry about leap years. There are 365 days in a non leap year. Multiplying that by 10 gives you 3650 days. There are 3600 seconds in an hour. There lies your correct answer 3650>3600. You don't need to consider number of hours in the day because it's on both sides and can be discarded.

Edited October 21, 2010 by k-man

[Guest]

(a) number of seconds in a day: 24hrs/day x 60mins/hr x 60secs/min = 86,400 secs

(b) number of hours in 10yrs: 10yrs x 365days/yr x 24hrs/day = 87,600 (hours)

Therefore: The number 87,600 is larger than 86,400

[Guest]

86，400 seconds are packed into one day and there are 8,760 hours or more each year. So the answer should be quite obvious.

[Guest]

The reason for the question is that the answers (what ever way you work it out) for each are quite close, making the answer quite surprising.