25th September 2003, 01:01 AM
25th September 2003, 01:29 AM
My answer is 108.5 hrs..
Time taken by 1 man = 96*4 = 384hrs
Time taken by 1 woman = 166.4*6 = 998.4hrs
Thus 1 woman = 384/998.4 = 0.385 men
Time taken by 2 men and 4 women = 384/(2+(4*0.385)) = 108.5 .
Long time since I did a maths question.
PS: Maybe the answer is a Real World answer as it accounts for the loss in time when the men and women are chatting up each other.
Last edited by reno77; 25th September 2003 at 01:38 AM.
25th September 2003, 01:58 AM
i do it another way, though quite similar and get that 108.522 also,
guess there's more 'work' when guys n gers get together =p
25th September 2003, 02:03 AM
jus a 2nd though abt the ans, if 6 woman takes 166.4, 2men and 4 woman(6 person also) wouldn't take tat close of time 162.8hrs (diff by onli 4 hours) as we can see by comparion tat the men is far more efective then the gers.
guess there some wrong numerics in either the ans or qns =p
25th September 2003, 02:05 AM
Hey, my answer is similar to reno77's answer.. what could be wrong??
Task A requires 384 hours of a man's work
Task A requires 998.4 hours of a woman's work
Hence, 1 woman is equivalent to 2.6 men
For the same amount of work, 2 man and 4 woman will take 384 / (2+4/2.6) = 108.52173913043478260869565217393 hours
25th September 2003, 02:07 AM
Well, not exactly. Since a man is stronger than a woman, he'll get more things done within a shorter time. But then again, it might be mental work. AHha. Not stated!
Originally Posted by ace2001
25th September 2003, 02:52 AM
2 men and 4 women?
The 2 men would 'beo' the 2 women and run off somewhere else, leaving 2 women to handle the job.
The 2 women, knowing full well that 4 men took 96 hours, will try to do it under 96 hours. But being women, they will gossip about the 2 men and 2 women, and lose track of time.
Still, they manage to complete it in 162.792002 hours, which is 162.8 when rounded, which is the correct answer.
Maths, so simple.
25th September 2003, 03:11 AM
25th September 2003, 09:34 AM
I can get 162.8 if its 384/(2+0.358) , maybe the given answer is wrong ?
25th September 2003, 12:47 PM
Answer given is wrong....
Let man=A and Woman=B
Solving, we have 384A=998.4B
Total B for the job=9.2B
We'll have (6/9.2)*166.4=108.52h
Thus 2 men and 4 women will take 108.52h....
25th September 2003, 12:49 PM
Oops!! Looks like majority of the people here gave the same answer... how come??
25th September 2003, 02:04 PM
25th September 2003, 02:14 PM
But I still think that the men will try to show off...
They will try to do faster & better...
25th September 2003, 09:58 PM
Hi all, thanks for the replies. First of all, I must apologise, I made a mistake, its 9 women taking 166.4 hrs, not 6 women. The rest remains the same.
Once again, so sorry for the stupid typo
25th September 2003, 10:01 PM
Ah, my fingers are typing faster than my mind can function!
Its 6 men took 96 hrs, 9 women took 166.2 hrs. Very Sorry
25th September 2003, 10:05 PM
25th September 2003, 10:29 PM
25th September 2003, 10:45 PM
answer is 162.7, well, 162.6974847 to be exact. using the same method as the rest has described.
25th September 2003, 11:14 PM
Let man=A and Woman=B
Solving, we have 384A=1497.6B
Total B for the job=11.8B
We'll have (9/11.8)*166.4=126.9h
Thus 2 men and 4 women will take 126.9h....
25th September 2003, 11:43 PM