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$1200$ men and $500$ women can build a bridge in $2$ weeks. $900$ men and $250$ women will take $3$ weeks to build the same bridge. How many men will be needed to build the bridge in one week?

  1. $3000$
  2. $3300$
  3. $3600$
  4. $3900$
in Numerical Ability by Active (2.4k points)
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Migrated from GO Electronics 5 months ago by Arjun

1 Answer

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Best answer

Assume a man can build the bridge in $x$ weeks and, a woman can build the bridge in $y$ weeks
We get,

  • $ \frac{1200}{x} + \frac{500}{y} = \frac{1}{2} \qquad \to (1)$
  • $\frac{900}{x} + \frac{250}{y} = \frac{1}{3} \qquad \to(2)$

$2 \times(2) - (1) \implies \frac{600}{x} = \frac{1}{6} \implies x = 3600.$

Hence, Correct Answer is $C.$ 3600 Men

by Boss (15.1k points)
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