Question

49 men can do a piece of work in 24 days. How many men will do the same work in 7 days?​

Answer 1

We have been asked that if 49 men do a work in 24 days how many men will do in 7 days ?

For obtaining the answer ; we need to concentrate on variation .

★ Given :

• 49 men → 24 days
• ? → 7 days

★ To Find :

• Number of men required to do the work in 7 days .

★ Variation :

• Indirect
• If more men are there the work will be done soon and if less men as there ; the hours will be more . They vary differently in inverse way . Ifone increases other decrease and vice versa.

★ Solution :

We need to Multiply either terms .

$\small{ \sf{ \dfrac{49 \: \times 24}{7} }}$

$\small{ \sf{ \dfrac{ \cancel{49} \times 24}{ \cancel{7}} }} \implies \sf 7 \times 24$

$\large{ \boxed{ \sf{ \pink{168}}}}$

★ Verification :

Cross Multiplication must give 0

→ 49 × 24 / 7 × 168

→ 1176 / 1176

→ 0

Answer 2

★ QUESTION :

49 Mens can do a piece of work in 24 days. How many men will do the same work in 7 days ?

GIVEN :

• The work done by 49 men in 24 days.

TO FIND :

• The number of men will do the same work in 7 days = ?

STEP-BY-STEP EXPLAINATION :

➠ The work done by 49 men in 24 days (GIVEN)

Now, here we will have to find the number of a men that will do the same work in 7 days = ?

So, let's find :

$➠ \frac{ \: ɴᴏ. \: ᴏғ \: ᴍᴇɴ \: \times ɴᴏ. \: ᴏғ \: ᴅᴀʏs}{(2ɴᴅ \: ɢɪᴠᴇɴ \: ɴᴏ. \: ᴏғ \: ᴅᴀʏs, \: ᴜsᴇᴅ \: ғᴏʀ \: ғɪɴᴅɪɴɢ)}$

Substituting the values, as per the given formula :

$➠ \frac{49 \times 24}{7} (ᴡʜᴇɴ \: ʀᴇᴅᴜᴄᴇᴅ)$

$➠ \frac{49\times 24}{7} = 24 \times 7 = 168$

Therefore, 168 mens will do the same work in 7 days

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⭐ ADDITIONAL INFORMATION ⭐

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♦ What is is Direct variation ?

If the values of two quantities are related in such a way that change in one results in a corresponding change in the other, the two quantities are said to be in the Direct variation .

♦ What is Indirect variation ?

If two quantities are related in such a way that an increase in 1 causes corresponding decrease in the other and vice-versa, then then search a variation is called and Inverse variation.