7 Indian and 4 American finish a job in 6 days. 7 African and 3 American finish the same job in 8 days. The efficiency of each person of a particular nationality is same but different from others. One Indian One American and One African will complete the work in:a)10 daysb)12 daysc)24 daysd)36 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?

Question

Accepted Answer

7I + 4Am = 1/6
7Af + 4Am = 1/8
7I + 7Af + 7Am = 7/24
1I + 1Af + 1Am = 1/24
One Indian One American and One African will complete the work in – 24 days.

Answer

Option a is d answer for this question

Answer

Ans.

7I + 4Am = 1/6

7Af + 4Am = 1/8

7I + 7Af + 7Am = 7/24

1I + 1Af + 1Am = 1/24

One Indian One American and One African will complete the work in – 24 days.

Answer

Given information:
- 7 Indians and 4 Americans finish a job in 6 days.
- 7 Africans and 3 Americans finish the same job in 8 days.
- Efficiency of each person of a particular nationality is the same but different from others.

To find:
- Time taken by one Indian, one American, and one African to complete the work.

Solution:
Let's assume that the efficiency of each Indian, American, and African is I, A, and B, respectively.

From the first statement, we can write:
- 7I + 4A = (1/6) ----(i)

From the second statement, we can write:
- 7B + 3A = (1/8) ----(ii)

Multiplying equation (i) by 3 and equation (ii) by 4 and then subtracting the two equations, we get:
- 13I = 1/24

Therefore, the efficiency of one Indian is:
- I = 1/(13*24)

Similarly, we can find the efficiency of one American and one African:
- A = 1/(11*24)
- B = 1/(17*24)

Let's assume that one Indian, one American, and one African can complete the work in x days. Then, we can write:

- (1/x)(I + A + B) = 1

Substituting the values of I, A, and B, we get:
- (1/x)(1/(13*24) + 1/(11*24) + 1/(17*24)) = 1

Solving for x, we get:
- x = 24

Therefore, one Indian, one American, and one African can complete the work in 24 days.

Answer: Option (c)

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