Question

10 men can lay a road of 75km. long in 5 days.in how many days can 15 men lay a road trip of 45km. long?
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Answer 1

$\huge{\bf{\green{\mathfrak{Question:-}}}}$

10 men can lay a road 75km long in 5 days then, in how many days can 15 men lay a road 45 km long ??

$\huge {\bf{\orange{\mathfrak{Answer:-}}}}$

$\textsf{10 men can lay a road of 75km in 5 days.}$

$\sf{1\: man\: can\: lay\: \dfrac{75}{10} \: =\: 7.5km.}$

$\textsf{15 men can lay a road of 45km.}$

$\sf{1\: man \:can\: lay\: \dfrac{45}{15} \: =\: 3km.}$

$\textsf{By proportionality method (or) Cross multiplication,}$

$\textsf{7.5km\: ————— \: ⟩ \: 5 days}$

$\textsf{3km\: ————— \: ⟩ \: x days}$

$\sf{3 \: * \: 5 \: = \: 7.5 \: * \: x}$

$\sf{x \: = \: \dfrac{15}{7.5}}$

$\boxed{\sf{x \: = \: 2.}}$

$\huge{\bf{\red{\mathfrak{Conclusion:-}}}}$

$\boxed{\therefore{\sf{15 \: men \: lay \: a \: road \: 45km \: in \: 2 \: days.}}}$