# Maths question

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##### New Member
Hi all,

I've a maths problem sum that need help :embrass:

4 men took 96 hrs to complete task A. 6 women took 166.4 hrs to complete the same task. How long will it take 2 men & 4 women to complete that same task?

The final solution is 162.8 hrs (rounded).

Does anyone knows how to solve it?

Thanks!

#### reno77

##### New Member

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.

#### ace2001

##### New Member
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
cheers =p

#### ace2001

##### New Member
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
cheers =p

#### OzOn3

##### New Member
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

heh..

#### OzOn3

##### New Member
ace2001 said:
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
cheers =p
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!

#### ST1100

##### Senior Member
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.

#### OzOn3

##### New Member
Wtf?! Hahahahaha.

#### reno77

##### New Member
I can get 162.8 if its 384/(2+0.358) , maybe the given answer is wrong ?

#### Kira

##### New Member

Let man=A and Woman=B

4A=96h
6B=166.4h

Thus 4A*96=6B*166.4

Solving, we have 384A=998.4B

thus A=2.6B

if A=2.6B
Then 2A+4B=2*2.6B+4B

Total B for the job=9.2B

Using 6B=166.4h

We'll have (6/9.2)*166.4=108.52h

Checking, 4A=4*2.6B=10.4B
if 6B=166.4,
then 10.4B=(6/10.4)*166.4=96h=4A...

Thus 2 men and 4 women will take 108.52h....

#### OzOn3

##### New Member
Oops!! Looks like majority of the people here gave the same answer... how come??

#### wacko

##### New Member
OzOn3 said:
Oops!! Looks like majority of the people here gave the same answer... how come??
cos the answer given in the first post is wrong!

which accessment book/school homework is that from anyhow? :nono:

#### AReality

##### Senior Member
But I still think that the men will try to show off...
They will try to do faster & better...

##### New Member
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 :embrass:

##### New Member
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 :embrass:

#### tangoninazero

##### New Member
hahaha most likely need to use direct proportion, chapter 11 sec 1 maths

#### ST1100

##### Senior Member
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 :embrass:
You've heard the story of the boy who cried wolf? :bsmilie:

Anyway, there are lots of sample workings here. You should be able to refer to anyone of them (incld mine ) and solve your problem, whatever the new numbers are.

#### wacko

##### New Member
answer is 162.7, well, 162.6974847 to be exact. using the same method as the rest has described.

#### Kira

##### New Member

Let man=A and Woman=B

4A=96h
6B=166.4h

Thus 4A*96=6B*166.4

Solving, we have 384A=1497.6B

thus A=3.9B

if A=3.9B
Then 2A+4B=2*3.9B+4B

Total B for the job=11.8B

Using 9B=166.4h

We'll have (9/11.8)*166.4=126.9h
Thus 2 men and 4 women will take 126.9h....

#### wacko

##### New Member
Kira said:

Let man=A and Woman=B

4A=96h
6B=166.4h
6A=96h
9B=166.4h

:nono:

:bsmilie:

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