Question

A camp has found fen 40 men for 80days. Him much days will the foud 15 men complete the same. Piece

Answer 1

Correct Question :

A Camp has found that 40 men can finish a work in 80 days. In how many days 15 men will complete the Same Piece of work?

AnswEr :

• C O N C E P T ⠀B E H I N D ⠀T H I S :

⋆ If A can do a piece of work in n days, then A’s one day’s work = 1/n

⋆ If A’s one day’s work = 1/n, then A can finish the work in n days.

⋆ Total Work = No. of Days × Efficiency

$\rule{300}{1}$

• Let's Head to the Question Now :

$\longrightarrow \text{40 men can finish work = 80 Days} \\ \\\longrightarrow \text{40 men efficiency = \sf\dfrac{1}{80\:Days} } \\ \\\longrightarrow \text{1 man efficiency = \sf\dfrac{1}{(80 \times 40)}Days } \\ \\\longrightarrow \text{1 man efficiency = \sf\dfrac{1}{3200}Days } \\ \\\longrightarrow \text{15 men efficiency = \sf \cancel\dfrac{1\times15}{3200}Days } \\ \\\longrightarrow \text{15 men efficiency = \sf\dfrac{1}{213}Days } \: \: \tt{[approx]} \\ \\\longrightarrow \red{\text{15 men can finish work = 213 Days}}$

⠀

∴ 15 men will finish the work in 213 Days.

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