simple problem of loading to solve

[dartagnan]

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.

[Platinum206]

What is this a brain-teaser from the radio or something that your trying to solve for a competition?!!! :confused:

[preduk]

3Hours I would say.

[matt_hooks]

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.

[Whirlygig]

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!

[preduk]

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.

[matt_hooks]

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!

[George Semel]

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.

[Mercenary Pilot]

I couldn't give a toss as long as they do the job properly and I pushback on time. :cool:

[preduk]

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!

[Mercenary Pilot]

Are you being serious?

If so, get a life. :rolleyes:

[preduk]

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