Maths question


Status
Not open for further replies.

tamade

New Member
Jun 19, 2003
170
0
0
40
West
gallery.ta-ma-de.org
#1
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! :D
 

reno77

New Member
Jan 30, 2002
921
0
0
Bedok Reservoir
www.ramaraj.com
#2
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.
 

ace2001

New Member
Apr 9, 2003
92
0
0
38
www.pbase.com
#3
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
Apr 9, 2003
92
0
0
38
www.pbase.com
#4
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
Jul 12, 2003
1,050
0
0
32
Singapore
www.nig3l.com
#5
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
Jul 12, 2003
1,050
0
0
32
Singapore
www.nig3l.com
#6
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
Jun 18, 2003
1,785
0
0
Singapore, Bedok
#7
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. ;)
 

Kira

New Member
Jul 2, 2003
507
0
0
Singapore, North Area
Visit site
#10
Answer given is wrong....

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....
 

wacko

New Member
Mar 27, 2002
424
0
0
Singapore
Visit site
#12
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! :eek:

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

tamade

New Member
Jun 19, 2003
170
0
0
40
West
gallery.ta-ma-de.org
#14
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:
 

tamade

New Member
Jun 19, 2003
170
0
0
40
West
gallery.ta-ma-de.org
#15
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:
 

ST1100

Senior Member
Jun 18, 2003
1,785
0
0
Singapore, Bedok
#17
tamade said:
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 :D ) and solve your problem, whatever the new numbers are.
 

Kira

New Member
Jul 2, 2003
507
0
0
Singapore, North Area
Visit site
#19
Revise answer..........

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....
 

Status
Not open for further replies.
Top Bottom