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7 Indian and 4 Chinese finish a job in 4 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 Indian, one Chinese and one Japanese will complete the work in (Mindtree 2019-Test1)
Answers
Step-by-step explanation:
One chinese,one indian and one japanese will complete the work in:
\frac{245}{12}\ days12245 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,
\begin{gathered}7 \times i + 4 \times c = \frac{1}{5}\\\\7i + 4c = \frac{1}{5} ------- eqn\ 1\end{gathered}7×i+4×c=517i+4c=51−−−−−−−eqn 1
7 japanese and 3 chinese finish the same job in 7 days
Let "j" be the japanese
Therefore,
\begin{gathered}7 \times j + 3 \times c = \frac{1}{7}\\\\7j + 3c = \frac{1}{7} ------- eqn\ 2\end{gathered}7×j+3×c=717j+3c=71−−−−−−−eqn 2
Add eqn 1 and eqn 2
\begin{gathered}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}\end{gathered}7i+4c+7j+3c=51+717i+7c+7j=35121i+1c+ij=35×7121i+1c+ij=24512
Thus, one chinese,one indian and one japanese will complete the work in:
\frac{245}{12}\ days12245 days