Question

If 68 men can do a piece of work in 40 days, find in how many days will 17 men will do

it?​

Answer 1

Answer:

160 days

Step-by-step explanation:

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Answer 2

Given Question :-

• If 68 men can do a piece of work in 40 days, find in how many days will 17 men will do it?

ANSWER

GIVEN

• If 68 men can do a piece of work in 40 days,

To FIND :-

• In how many days will 17 men will do it?

CALCULATION :-

Given that

• 68 men can do a piece of work in 40 days.

• Let 17 men will do it in 'x' days.

$\begin{gathered}\boxed{\begin{array}{c|c} \bf no. \: of \: men & \bf no. \: of \: days \\ \frac{\qquad \qquad}{} & \frac{\qquad \qquad}{} \\ \sf 68 & \sf 40 \\ \\ \sf 17 & \sf x \end{array}} \\ \end{gathered}$

According to concept of variation,

• Less men, more days.

It implies,

• Concept of inverse variation.

So,

$\rm :\implies\:68 \times 40 = 17 \times x$

$\rm :\implies\:x = \dfrac{68 \times 40}{17}$

$\rm :\implies\:x = 160$

$\longmapsto \boxed{ \green{ \bf \:Hence, \: number \: of \: days \: is \: 160 }}$