Question

7 indian and 4 chinese finish a job in 5 days. 7 japanese and 3 chinese finish the same job in 7 days. given that the efficiency of each person of a particular nationality is same but different from others.one chinese,one indian and one japanese will complete the work in

Answer 1

Answer:

Indian 1.5 day

japanese 1.2 day

Answer 2

One chinese,one indian and one japanese will complete the work in:

$\frac{245}{12}\ days$

Solution:

Given that,

7 indian and 4 chinese finish a job in 5 days

Let "i" be the indian and "c" be the chinese

Therefore,

$7 \times i + 4 \times c = \frac{1}{5}\\\\7i + 4c = \frac{1}{5} ------- eqn\ 1$

7 japanese and 3 chinese finish the same job in 7 days

Let "j" be the japanese

Therefore,

$7 \times j + 3 \times c = \frac{1}{7}\\\\7j + 3c = \frac{1}{7} ------- eqn\ 2$

Add eqn 1 and eqn 2

$7i + 4c +7j + 3c = \frac{1}{5} + \frac{1}{7}\\\\7i + 7c +7j = \frac{12}{35}\\\\1i + 1c + ij = \frac{12}{35 \times 7}\\\\1i + 1c + ij = \frac{12}{245}$

Thus, one chinese,one indian and one japanese will complete the work in:

$\frac{245}{12}\ days$

Learn more about this topic

4 Indians and 4 Chinese can do a piece of work in 3 days while 2 Indians and 5 Chinese can finish it in 4 days. How long would it take for 1 Indian to do it ? How long would it take for 1 Chinese to do it?

https://brainly.in/question/12022310