Maths-
General
Easy
Question
2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days What is the time taken by 1 woman alone?
- 16 days
- 36 days
- 46 days
- none of these
Hint:
A mathematical definition of an equation is a claim that two expressions are equal and joined by the equals sign. We have to find the the time taken by 1 woman alone. Here we will create some equations and then find the values of the variables created.
The correct answer is: 36 days
Now here we have given that 2 women and 5 men can together finish an embroidery work in 4 days while 3 women and 6 men can finish it in 3 days.
So let the number of days taken by a woman be x and the number of days taken by a man be y.
Then the equation becomes:
4(2/x + 5/y) = 1
2/x + 5/y = 1/4
3(3/x + 6/y) = 1
3/x + 6/y = 1/3
Now putting the expressions, 1/x = p and 1/y = q in these equations formed, we get:
2p + 5q = 1/4
Here we will do cross multiplication for simplification, we get:
p/-20 – (-18) = q/-9 – (-18)
1/144b- 180 ⇒ p/-2
q/-1 = 1/-36 ⇒ p/-2
– 1/36 and q/-1 = 1/-36
p = 1/18 and q = 1/36
p = 1/x = 1/18 and q = 1/y = 1/36
x = 18 and y = 36
So the total number of days taken by a woman is 18.
So here we used the substitution method to solve the question, apart from this method we can also use the elimination method to solve the problem as we have variables here. So the total number of days taken by a woman is 18.
Related Questions to study
Maths-
In a competitive exam, 3 marks are to be awarded for every correct answer and for every wrong answer, 1 mark will be deducted Madhu scored 40 marks in the exam Had 4 marks been awarded for each correct answer and 2 marks deducted for each incorrect answer, Madhu would have scored 50 marks How many questions were there in the test? (Madhu attempted all the questions).
In a competitive exam, 3 marks are to be awarded for every correct answer and for every wrong answer, 1 mark will be deducted Madhu scored 40 marks in the exam Had 4 marks been awarded for each correct answer and 2 marks deducted for each incorrect answer, Madhu would have scored 50 marks How many questions were there in the test? (Madhu attempted all the questions).
Maths-General
Maths-
Two sets A and B are disjoint if and only if
Two sets A and B are disjoint if and only if
Maths-General
Maths-
If 
So here we understood the concept of sets and its various types that are there. The concept of intersection of sets was used which is basically when there are common terms in the given number of sets, those comes under the intersection. So 
.
If
Maths-General
So here we understood the concept of sets and its various types that are there. The concept of intersection of sets was used which is basically when there are common terms in the given number of sets, those comes under the intersection. So .
chemistry-
The following carbohydrate is 
The following carbohydrate is
chemistry-General
chemistry-
The total number of basic groups in the following form of lysine is 
The total number of basic groups in the following form of lysine is
chemistry-General
Chemistry-
- and 
-Glucose differ in the orientation of the 
group around:
- and -Glucose differ in the orientation of the group around:
Chemistry-General
Physics-
Electric power =
Electric power =
Physics-General
Physics-
n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is
n equal resistors are first connected in series and then in parallel. The ratio of the equivalent resistance in the two cases is
Physics-General
Physics-
A wire 50 cm long and 1 mm2 in cross-section carries a current of 4 A when connected to a 2V battery. The resistivity of the wire is
A wire 50 cm long and 1 mm2 in cross-section carries a current of 4 A when connected to a 2V battery. The resistivity of the wire is
Physics-General
Physics-
The equivalent resistance of the network shown in the adjoining figure between the points A and B is
The equivalent resistance of the network shown in the adjoining figure between the points A and B is
Physics-General
physics-
Equivalent resistance between points P and Q in the adjoining figure is
Equivalent resistance between points P and Q in the adjoining figure is
physics-General
Physics-
The S.I. unit of surface charge density is _____.
The S.I. unit of surface charge density is _____.
Physics-General
chemistry-
chemistry-General
chemistry-
Find the final product Z of the following reaction
Find the final product Z of the following reaction
chemistry-General
chemistry-
Coupling with diazonium salts of the following takes place in the order of
Coupling with diazonium salts of the following takes place in the order of
chemistry-General
