Aptitude - Time and Work - Discussion

Discussion Forum : Time and Work - General Questions (Q.No. 12)

Time and Work

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?

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 8 of 11.

Daniel Thapa said: 8 years ago

@Aravindhan: Cool bro thats smart way of handling this kinda question, and thanks.

Deepika said: 1 decade ago

Please explain how to solve these two equations? Explain with it in step by step?

Jigme said: 5 years ago

Hi,

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

Suresh said: 1 decade ago

Hi guys, Kindly solve those two equation in step by step with simple format.

Varshini said: 5 years ago

@All.

Please let me know.

How come x=11/400 and y=1/400?

Anybody explain.

(4)

Shaheena said: 8 years ago

I don't understand the solving 1 & 2 equations. Please, anyone help me.

Priya said: 6 years ago

I cannot understand this equation.
4x+6y=1/8.
3x+7y=1/10.

Please explain.

Mamatha said: 1 decade ago

6/400 = 3/200.

Take LCM of 1/8-3/200 = 440/4000 = 11/100.
Is it clear?

Saleem said: 1 decade ago

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

x=11/400

Mr.chan ,could u pls explain

Priya said: 1 decade ago

Can any one say shortcut to this problem.

Thank you in advance.

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