Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 12)
12.
4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?
35
40
45
50
Answer: Option
Explanation:

Let 1 man's 1 day's work = x and 1 woman's 1 day's work = y.

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

Solving the two equations, we get: x = 11 , y = 1
400 400

1 woman's 1 day's work = 1 .
400

10 women's 1 day's work = 1 x 10 = 1 .
400 40

Hence, 10 women will complete the work in 40 days.

Discussion:
106 comments Page 11 of 11.

Eno said:   6 years ago
Please, we have been using 1/n for 1 day's work. How come we are now saying that let 1 man's day be x and 4 days be 4x?

Or are we trying to say we have to cram how each examples are used and not to go by the 1/n always?

Kermiki Bang said:   6 years ago
Then, 4x + 6y =1/8 and 3x + 7y =1/10.

Solving the two equations,

We get: x = 11/400, y =1/400

Can someone help me with this?

Harpreet said:   6 years ago
4 x+6y = 1/8 (I)
3x+7y=1/10.

32x+48y=1....(1)
30x+70y=1....(2)

2x-22y=0
X=11y

4*11y + 6y = 1/8
10y = 1/40.

Priya said:   6 years ago
I cannot understand this equation.
4x+6y=1/8.
3x+7y=1/10.

Please explain.

Jigme said:   5 years ago
Hi,

Could you please show me how did you compute to get x=11/400 & y = 1/400?

Thanveer said:   4 years ago
You are wrong @Kishor,

Right, Agree with you @Nagu.


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