Ask your own question, for FREE!
Mathematics 9 Online
OpenStudy (anonymous):

This one was asked a few days ago, but I don't think anyone solved it (including me). 4 men need to cross a bridge. The bridge is only wide enough for up to 2 people, and it's so dark that anyone who crosses needs the only flashlight. The men each take different amounts of time to cross the bridge: Man 1 takes 1 minute. Man 2 takes 2 minutes. Man 3 takes 5 minutes. Man 4 takes 10 minutes. They have exactly 17 minutes to get everyone across. How do they do it?

OpenStudy (anonymous):

I had to think about this one for 2 days lol <.<

OpenStudy (anonymous):

let the ten min guy go in & in the mean while let the other scamper across. :D

OpenStudy (anonymous):

I only just figured it out during the last question :P

OpenStudy (anonymous):

i trial and error'd it to death

OpenStudy (anonymous):

Haha, nice. When all else fails, use brute force. Read the rules again manoranjan :P

myininaya (myininaya):

so you are saying it takes 10 minutes for the last man to get across the bridge is this 10 minutes for him going back and forth or is it just the one crossing that takes him 10 minutes?

OpenStudy (anonymous):

One crossing takes 10 minutes.

myininaya (myininaya):

he must be fat

OpenStudy (anonymous):

Fat, old, decrepid, broken legs. He's got it pretty bad.

myininaya (myininaya):

lol poor guy

myininaya (myininaya):

you said there is only one flashlight and only 2 can cross at a time if the have different speeds then how are the both using the flashlight that one of them has

OpenStudy (anonymous):

The speeds given are their maximum speeds, they can walk slower if they like.

myininaya (myininaya):

i just don't see how 2 can cross together with their speeds being different like and them only having one flashlight

OpenStudy (anonymous):

The guy who can sprint across in 1 minute can also decide to walk across in 2, 5, or 10 minutes if he wants to.

OpenStudy (anonymous):

That does not apply in reverse. The guy who takes 2 minutes can also go across in 5 or 10 minutes, but not in 1 minute.

myininaya (myininaya):

ok i get it so it can take guy 1 1 minute but he can choose to cross it in 10 minutes

OpenStudy (anonymous):

Exactly.

OpenStudy (anonymous):

Ok on it

OpenStudy (anonymous):

I say one person goes and then throw the flashlight back

myininaya (myininaya):

1st man=w 2nd man=x 3rd man=y 4th man=z when i say zy, i'm saying z and y are traveling together zw travels 10 minutes together to cross bridge z travels 1 minute back to the beginning zy travels in 5 minutes together to cross bridge z travels 1 minutes back to the beginning zx travels 2 minutes together --------------- 19 minutes needed

OpenStudy (anonymous):

You're on the right track, but we need to get it down to 17 minutes!

myininaya (myininaya):

can we throw the flashlight back?

myininaya (myininaya):

lol

myininaya (myininaya):

and i got my men mixed up above lol

OpenStudy (anonymous):

It's too far unfortunately :P

myininaya (myininaya):

i only see 19 minutes

OpenStudy (anonymous):

It's worth noting that the 10 minute man can only cross once. The 5 minute man would use up 15 minutes if he ever went back across the bridge (it would require 2 trips one across, and 1 trip back).

myininaya (myininaya):

yeah for sure the last man makes only one crossing that is easy to see

OpenStudy (anonymous):

You would also save a lot of time if you could manage to get the 5 and 10 minute men across in one go.

myininaya (myininaya):

the 10 minute guy*

myininaya (myininaya):

but how would you do that someone has to come back with the flashlight

myininaya (myininaya):

and it would take the 5 minutes guy 5 minutes to bring it back

OpenStudy (anonymous):

If there was someone already on the other side who could come back, they could deliver back the flashlight

myininaya (myininaya):

? so there is a delivery man?

OpenStudy (anonymous):

You could make one of the other two guys a delivery man.

myininaya (myininaya):

ok ok

OpenStudy (anonymous):

Now 1 minute is the shortest we have got

OpenStudy (anonymous):

i can't think before 19

OpenStudy (anonymous):

lets say full moon light no need for flashlight

OpenStudy (anonymous):

night *

OpenStudy (anonymous):

Hehe, not that simple.

myininaya (myininaya):

so 1 minute man and 2 minute man cross together (takes them 2 minutes) so 1 minute man brings back the flashlight (takes 1 minute) so 5 minute man and 10 minutes man cross together (takes 10 minutes) so 2 minutes man brings back the flashlight (takes 2 minutes) so 1 minute man and 2 minutes man cross together (takes 2 minutes)

myininaya (myininaya):

17 minutes

myininaya (myininaya):

let me see if i got everything

OpenStudy (anonymous):

Winrar!

myininaya (myininaya):

yep looks good

myininaya (myininaya):

wow dalvoron why did you give such a big hint

myininaya (myininaya):

lol

OpenStudy (anonymous):

ah myininaya too good ......you saw beyond that too good ..very nice

OpenStudy (anonymous):

you deserve more medals

myininaya (myininaya):

he got tired of us

myininaya (myininaya):

thats why he gave such a big hint he said the fattys had to cross together

myininaya (myininaya):

and wouldn't it be great if someone could bring it back (not one of the fattys)

OpenStudy (anonymous):

It was nearing 30 minutes, I think that's long enough :P

myininaya (myininaya):

lol

OpenStudy (anonymous):

lol

myininaya (myininaya):

i would had gotten it

myininaya (myininaya):

eventually

myininaya (myininaya):

without the hint

OpenStudy (anonymous):

yeah you could have done that ..you have a good brain

myininaya (myininaya):

maybe

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!