Question

3 boys can complete a work in 9 days. 1 boy can complete it in:

Answer 1

Answer:

$1 \: boy \: complete\:the \\same \: work \: in \: 27\:days$

Step-by-step explanation:

If the number of boys decreases , the days to complete the work increases in the same proportion.

Clearly, number of boys varies inversely to the number of days.

$So\: here \: \frac{x_{1}}{x_{2}}=\frac{y_{2}}{y_{1}}$

$x_{1}=3\: boys ; \: y_{1}=9\:days\\x_{2}=1\: boys ; \: y_{2}=?\:days$

$\frac{3}{1}=\frac{y_{2}}{9}$

$\implies 3\times 9 = y_{2}$

$\implies y_{2}=27$

Therefore,

$1 \: boy \: complete\:the \\same \: work \: in \: 27\:days$

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