Maths / Direct and Inverse Variation / Time and Work

QUESTION

5 men or 9 women can do a piece of work in 19 days. 3 men and 6 women will do the same work in how many days?

EXPLANATION
Explain TypeExplanation Content
Text

5 men = 9 women

$1 \: men=\frac{9}{5}women\\\\\therefore 3\: men+6\: women=3\times \frac{9}{5}+6\\\\ =\frac{57}{5}\: women\\\\ \therefore \: 9\: women\: can\: do\: the\: work\: in\: 19\: days\\\\ \therefore \frac{57}{5}\: women\: can\: do\: the \: work\: in\: \frac{19\times 9}{57}\times 5 = 15\: days$

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