Aptitude - Time and Work - Discussion

how it possible 4x+6/400=1/8

x=11/400

Mr.chan ,could u pls explain

Can any one say shortcut to this problem.

Thank you in advance.

Ok I can understand this problem but I want any shortcut method for doing the problem so fast. Because time is precious in competative exams. Dng all these caluclation is waste of time so I sortcut to this one so plzz any one help me.

Hi Poonam,

Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.
So 4 man's 1 day's work= 4x and 6 woman's 1 day's work = 6y.
Working together overall work will done in 8 days.
So working together overall work will done in 1 day = 1/8

i.e 4x + 6y = 1/8

So 3 man's 1 day's work= 3x and 7 woman's 1 day's work = 7y.
Working together overall work will done in 10 days.
So working together overall work will done in 1 day = 1/10

i.e 3x + 7y = 1/10

By solving
4x + 6y = 1/8 * 3
3x + 7y = 1/10 * 4
------------------------
12x + 18y = 3/8
12x + 28y =4/10

So 10y = 1/40

y= 1/400
x=11/400

4m+6w=1/8 --(1)

3m+7w=1/10 --(2)

Solve this two we get 10w = 1/40;

So the answer is 40 days.

Hi All, Let me explain.

8 * 4x + 6y = 1 ( multiplied by 8)
10* 3x + 7y = 1 (multiplied by 10)

32x + 48y = 1 --(1) ----> (1) * 30
30x + 70y = 1 --(2) ----> (2) * 32

Hence

960x+1440y=30/8 (since 30*32 =960)
960x+2240y=32/10 (same)
----------------
800y=1/400
y = 1/400

By substituting the value of y Eqn (1)

You will get 4x+6/400=1/8

x=11/400

REST ARE IN ABOVE WEBSITE'S EXPLANATION.

Hi all,
can you please explain

4x + 6y = 1/8 --(1)
3x + 7y = 1/10 --(2)

From (1) and (2) How it comes
x = 11/400 , y = 1/400

Hii,

Can you please explain.

How comes.

4x + 6y = 1/8 and 3x + 7y = 1/10.

X = 11/400, why = 1/400.

Hi Bhuvi,

if A takes 10 days to complete a work means
A's one day work is 1/10

Same way 10 women's one day work is 1/40 means they will take 40 days to complete the work.

I think you got my point.

Have a nice day

You are welcome. Shehina.