Answer:

9 days, 8 hours

Step-by-step explanation:

3 boys will cover 3km in 3 days

3 boys will cover 6 km in 6 days

3 boys will cover 9 km in 9 days

1 boy covers 1km per day he will cover 333.33m in 8 hours. Same for the others.

333.33 x 3 = 1km

9km + 1km = 10km

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[tex] Boys \: \: = 10 \\ \\ Path(in \: \: km) \: = 10 \\ \\ Time (days) = 10[/tex]

[tex]Boys \: \: = 3 \\ \\ Path(in \: \: km) \: = 10 \\ \\ Time (days) = \: ?[/tex]

[tex]In \: this \: Question \: boys \: and \\ time \: are \: related \: with \\ Inverse \: proportionality , \: and \: \\ path \: and \: time \: are \: related \\ with \: simple \: \\ proportionality \: .[/tex]

[tex]Number \: of \: Required \: \\ Time \\ \\ = 10 \times \frac{10}{3} \times \frac{10}{10 } \\ \\ = \frac{1,000}{30} \\ \\ = \frac{100}{3} \: \: or \: \: 33.33[/tex]

[tex]So, \: there \: will \: be \: \frac{100}{3} \\ days \: for \: 3 \: boys \: \\ to \: complete \: \: 10 \: km [/tex]