Aptitude - Chain Rule - Discussion
Discussion Forum : Chain Rule - General Questions (Q.No. 15)
15.
4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days?
Answer: Option
Explanation:
Let the required number of bottles be x.
More weavers, More mats (Direct Proportion)
More days, More mats (Direct Proportion)
| Wavers | 4 | : | 8 |  |
:: 4 : x |
| Days | 4 | : | 8 |
4 x 4 x x = 8 x 8 x 4
 x = |
(8 x 8 x 4) |
| (4 x 4) |
x = 16.
Discussion:
20 comments Page 1 of 2.
Thinley said:
8 months ago
One person can finish 1 mat in 4 days, which means his mat per day is 1/4. If a person has 8 days then he can 8/4 = 2 mats in 8 days.
There are 8 weavers, 8 * 2 = 16.
There are 8 weavers, 8 * 2 = 16.
Ponnu said:
4 years ago
M=4 M=8,
D=4 D=8,
H=x H=x,
W=4 W=4.
Weavers =4:8
Day's =4:8.
Therefore,
4*4*x = 8*8*4
8*8*4 ÷ 4*4
x= 256 ÷16 = 16.
So, The value if x = 16,
Thanks.
D=4 D=8,
H=x H=x,
W=4 W=4.
Weavers =4:8
Day's =4:8.
Therefore,
4*4*x = 8*8*4
8*8*4 ÷ 4*4
x= 256 ÷16 = 16.
So, The value if x = 16,
Thanks.
(2)
Mani said:
5 years ago
Can any tell me, how to solve this by using direct and indirect proportions?
(1)
Minte said:
5 years ago
@All.
Just think it like this, before 4 people complete 4 mats in 4 days, but with the addition of 4 people now 2 people can complete 2 mats in 1 day.
So multiply the finished mats per day i.e 2 with the total no of days i.e 8 and we get 2* 8 = 16.
Just think it like this, before 4 people complete 4 mats in 4 days, but with the addition of 4 people now 2 people can complete 2 mats in 1 day.
So multiply the finished mats per day i.e 2 with the total no of days i.e 8 and we get 2* 8 = 16.
Sushi said:
6 years ago
@Viraj Kamat.
Thank You.
Thank You.
MP said:
8 years ago
@All.
If A can complete a mat in 4 days.
his 1 day of work is 1/4 so he completes 1/4 of mat in one day.
1/4 +1/4+1/4 +1/4 =1 mat.
If A can complete a mat in 4 days.
his 1 day of work is 1/4 so he completes 1/4 of mat in one day.
1/4 +1/4+1/4 +1/4 =1 mat.
(1)
Magnesh said:
8 years ago
Usually, we select answer as 8 because 4 4 4 so 8 8 8 actually we are wrong.
4 people 4 mats in 4 days.
so 1 man can do 1 mat in 4 days.
(If you think how 1 man 1mat in 4 days = effort of 4 people to make 1 mat in 1 day
effort of 4 people to make 2 mats in 2day, similarly 4 people 4 mats 4 days as good as saying 1 man should work for 4 days to make 1 mat, because everyday he is putting effort to finish1/4 work of a mat, at the end of 4 days( 1/4+1/4+1/4+1/4= 1 mat ))
Now,
For simplicity keep days constant which is 4 days and people 8.
4 men make 4 mats in 4 days.
8 men make ? mats in 4 days.
Since days are same don't worry and simply cross multiply.
8*4/4= 32/4= 8.
So 8 mats in 4 days 8 mats in 4 days
? mats in 8 days
64 /4 = 16.
4 people 4 mats in 4 days.
so 1 man can do 1 mat in 4 days.
(If you think how 1 man 1mat in 4 days = effort of 4 people to make 1 mat in 1 day
effort of 4 people to make 2 mats in 2day, similarly 4 people 4 mats 4 days as good as saying 1 man should work for 4 days to make 1 mat, because everyday he is putting effort to finish1/4 work of a mat, at the end of 4 days( 1/4+1/4+1/4+1/4= 1 mat ))
Now,
For simplicity keep days constant which is 4 days and people 8.
4 men make 4 mats in 4 days.
8 men make ? mats in 4 days.
Since days are same don't worry and simply cross multiply.
8*4/4= 32/4= 8.
So 8 mats in 4 days 8 mats in 4 days
? mats in 8 days
64 /4 = 16.
Sangeetha said:
8 years ago
4man can do 4 mats in 4 in 4 days.
1men can do 4 mats in 16 days.
1 man can do 1 mats in 4 days.
1 man can do 8 mats in 32 days.
8 man can do 8 mats in 4 days.
So, 4 is my answer please explain me briefly that where have I done the mistake.
1men can do 4 mats in 16 days.
1 man can do 1 mats in 4 days.
1 man can do 8 mats in 32 days.
8 man can do 8 mats in 4 days.
So, 4 is my answer please explain me briefly that where have I done the mistake.
Karthik said:
9 years ago
@XYZ
Let's split the problem into 2 sides.
* Mates per day.
* Persons Per mate per day.
In Problem it clearly states that 4 mates per 4 days.
4 mates --> 4 day.
1 mate ----> 4/4 = 1.
So 4 mate weavers 1-day job = 1 mate.
8 mate weavers 1-day job = 1* 8/4 = 2 Mates.
8 mate weavers 2-day job = 2 * 8 = 16.
Let's split the problem into 2 sides.
* Mates per day.
* Persons Per mate per day.
In Problem it clearly states that 4 mates per 4 days.
4 mates --> 4 day.
1 mate ----> 4/4 = 1.
So 4 mate weavers 1-day job = 1 mate.
8 mate weavers 1-day job = 1* 8/4 = 2 Mates.
8 mate weavers 2-day job = 2 * 8 = 16.
Xyz said:
9 years ago
How it is solved? Please explain properly.
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