Question

3. 18 men can dig a well in 16 days. In
how many days can 32 men dig the same well ?​

Answer 1

Question :-

18 men can dig a well in 16 days. In

how many days can 32 men dig the same well ?

____________________

Solution :-

$\Large\bf\blue{\underline{Given:-}}$

• 18 men can dig a well a well in 16 days.

$\Large\bf\blue{\underline{To\:Find:-}}$

• In how many days can 32 men dig the same well?

$\Large\tt\green{\underline{Required\:Solution:-}}$

$\tt\large\red{\underline{We\:Know,}}$

18 men can dig a well in 16 days.

Then,

➡️18 men = 16 days

Now one man can do this in :-

➡️18 men = 16 days

➡️1 men = $\bf\blue{18 \times 16}$

➡️ ⠀⠀⠀= 288 days

Therefore, 1 man can do this in 288 days

Then, 32 men can do this in:-

➡️1 man = 288 days

➡️32 men = $\bf\blue{\dfrac{\cancel{288}}{\cancel{32}}}$

➡️ ⠀⠀⠀⠀= 9

$\boxed{\sf\purple{Hence,\:32\:men\:do\:this\:in\:9\:days.}}$

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Answer 2

$\small\color{red}{explaination ★}$

From the question,

48 men can dig a trench in 14 days

1 man can dig a trench in =(14×48) days ..

[ less men, more days]

∴28 men can dig a similar trench in =(14×48)/28

=24 days ...[ More men, less days]

$\small\color{red}{Hence the}[/text]</p><p>[tex]\small\color{blue}{number of days for 28}$ $\small\color{green}{ men to dig a trench =24.}$