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?
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 7 of 11.
MOHAMED SALEEM said:
1 decade ago
Let us sahre CHAN HOW 1 BECOMES 30/8
32x + 48y = 1 --(1) ----> (1) * 30
960x+1440y=30/8 (since 30*32 =960)
32x + 48y = 1 --(1) ----> (1) * 30
960x+1440y=30/8 (since 30*32 =960)
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.
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.
Muz said:
1 decade ago
Anyone plz tell me, how x in 4x + 6 * 1/400 = 1/8 comes out as "11/400".. i get only "11"
Poonam said:
2 decades ago
Hii,
Can you please explain.
How comes.
4x + 6y = 1/8 and 3x + 7y = 1/10.
X = 11/400, why = 1/400.
Can you please explain.
How comes.
4x + 6y = 1/8 and 3x + 7y = 1/10.
X = 11/400, why = 1/400.
Prasant said:
1 decade ago
4x+6y = 1/8
=> 4x+6/400 = 1/8 ...as x=1/400
=> 4x = 1/8-6/400
=> 4x = 11/100
=> x = 11/400
=> 4x+6/400 = 1/8 ...as x=1/400
=> 4x = 1/8-6/400
=> 4x = 11/100
=> x = 11/400
Sasi Lawandi said:
6 years ago
How to get 1 woman's day work = 1/400.
Can you please explain it clearly? Can't understand about it.
Can you please explain it clearly? Can't understand about it.
ARAVINDHAN said:
1 decade ago
4m+6w=1/8 --(1)
3m+7w=1/10 --(2)
Solve this two we get 10w = 1/40;
So the answer is 40 days.
3m+7w=1/10 --(2)
Solve this two we get 10w = 1/40;
So the answer is 40 days.
Srinivas said:
1 decade ago
4x+6y=1/8.
3x+7y=1/10.
Here why you are taking days 1/10 and 1/8?
You mean members=1/days ?
3x+7y=1/10.
Here why you are taking days 1/10 and 1/8?
You mean members=1/days ?
Prasanth said:
9 years ago
4x + 6y = 1/8 and 3x + 7y = 1/10.
How to get x = 11/400 why = 1/400 please explain me.
How to get x = 11/400 why = 1/400 please explain me.
Priya said:
1 decade ago
Can any one solve this by work equivalence (man days) or by normal equation method?
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