Question

if 20men together can finish a job in 20 days then the number of days taken by 25 men of the same capacity to finsh the job is​

Answer 1

Answer: Time required by 20 men to finish a job = 20 days. So, the time required by 1 man to finish that particular job = 20×20 days. Therefore, the time required by 25 men to finish that particular job = 20×2025 . Hence, the time required to finish that job by 25 men is 16 days.

Step-by-step explanation:

Answer 2

Given:

• 20men together can finish a job in 20 days.

To find:

• The number of days taken by 25 men to complete the work.

Table:

$\begin{gathered}\begin{gathered} \large\boxed{\begin{array}{ c |c} \frak{ \pmb{No.of men}}& \rm{ \pmb{no.of days}}\\\dfrac{\qquad\qquad}{ \sf 20}&\dfrac{\qquad\qquad}{ \sf 20 \: }& \\ \dfrac{\qquad\qquad}{ \sf 25}& \dfrac{\qquad\qquad}{ \sf X \:}& \\ \end{array}}\end{gathered}\end{gathered}$

Solution:

➪ As, know that the no. of men increased so, the number of days will decrease

hence, the are in inverse proportion

$\longrightarrow \sf \: 25 : 20 : : 20 : x \\ \\ \\ \\ \longrightarrow \sf \frac{25}{20} = \frac{20}{x} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \longrightarrow \sf 25x = 20 \times 20 \: \\ \\ \\ \longrightarrow \sf \: x = \frac{20 \times 20}{25} \: \: \: \\ \\ \\ \longrightarrow \orange{ \underline{ \boxed{\frak{ x = 16 \bigstar}}}} \: \: \: \: \: \: \: \: \: \:$

$\blue {\underline {\mathfrak{Hence, 25\: Men\:take\:16\:Days}}}$

More to know:

What is proportion?

• A proportion is an equation that says that two or more ratios are equal.

Types of proportion:

• Direct  proportion

• Inverse proportion

Two variables are said to be in proportion if the change in one can be predicted from a change in the other.

Synonyms of proportion:

• comparison.
• share.
• distribution
• arrangement
• balance

hope this helped