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simple problem of loading to solve

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Old 24th Mar 2008, 00:03
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simple problem of loading to solve

1 guy can load a cargo plane in 2 hours, the second guy in 3 hours, and the 4th guy in 4 hours...

what s the time to load the plane if all guys work together?

thank you.
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Old 24th Mar 2008, 00:40
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What is this a brain-teaser from the radio or something that your trying to solve for a competition?!!!
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Old 24th Mar 2008, 02:16
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3Hours I would say.
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Old 24th Mar 2008, 04:09
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Pred, I don't think so.

First bloke (a) loads 1/2 a plane an hour
second bloke (b) loads 1/3 of a plane an hour
third bloke (c) loads 1/4 of a plane an hour.

Sooooo.

Lowest common denominator is 12

a = 6/12 per hour
b = 4/12 per hour
c = 3/12 per hour

So in one hour we have 13/12 planes loaded

Now, an hour divided by 13 = 4 minutes 37 seconds

and we only need 12 of those, so

It takes them, working as a team, assuming that each works at his normal rate, 55 minutes and 24 seconds.
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Old 24th Mar 2008, 10:17
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What happened to the third guy?

The answer is two hours because you'd sack the other two for being lazy and unproductive.

Cheers

Whirls



I take it this isn't serious? If so, then Matt's right!
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Old 24th Mar 2008, 15:36
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Matt,

Your soloution makes more sense than mine, I done it on the basis that each would take a turn at loading the aircraft rather than loading together.
preduk is offline  
Old 26th Mar 2008, 23:16
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Yes pred, I stated the necessary assumptions prior to my answer. It presumes that each works at his normal rate, and that there is no interaction. I would suggest that the true answer would be less than that, as we all know that the whole is greater than the sum of its parts!
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Old 27th Mar 2008, 08:00
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You are all wrong, you fire all four of them, then you turn over the whole mess to Federal Express, they turn around in about 60 min. And they make a lot of money too. Or if its a Union shop you just let the first guy do it, and the other three just stand there and watch. Another problem solved from across the pond.
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Old 27th Mar 2008, 08:35
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I couldn't give a toss as long as they do the job properly and I pushback on time.
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Old 27th Mar 2008, 13:33
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Mercenery,

Bit of a contradiction there, don't you think?

I couldn't give a toss
This would mean you don't care about it at all

as long as they do the job properly and I push back on time.
Then you say you actually care about the main aspect of the loading!
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Old 27th Mar 2008, 15:19
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Are you being serious?

If so, get a life.
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Old 27th Mar 2008, 18:41
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Opps

Lol... I mean't to add tongue and cheek there
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