Question

Solve With the Step-by-step Explanation
Question From 65 Years Old Book....... ​

Answer 1

Gɪᴠᴇɴ :-

• (5B + 7M) can reap a Field of 168 Hectares in = 18 Days.
• A man can Do work = 3 * A Boy can Do work.

Tᴏ Fɪɴᴅ :-

• (15M + 5B) can reap a Field of 700 Hectares in How Many Days ?

ᴄᴏɴᴄᴇᴘᴛ ᴜsᴇᴅ :-

➺ If M1 men can do W1 work in D1 days and M2 men can do W2 work in D2 days then

☛ (M1*D1)/W1 = (M2*D2)/W2

Sᴏʟᴜᴛɪᴏɴ :-

Given That :-

→ 1M = 3B

So,

→ 7M = 3*7 = 21B

And,

→ 15M = 15*3 = 45B .

Therefore, we Have Now :-

➻ M1 = 5B + 21B = 26B

➻ M2 = 45B + 5B = 50B

➻ D1 = 18 Days.

➻ D2 = Let X Days.

➻ W1 = 168 Hectares.

➻ W2 = 700 Hectares.

Putting All Values in Our Formula Now, we get :-

⟿ (26 * 18) / 168 = (50 * X) / 700

⟿ (26 * 18) * 700 = (50 * X) * 168

⟿ 26 * 18 * 100 = X * 50 * 24

⟿ 26 * 18 * 2 = X * 24

⟿ 26 * 3 * 2 = X * 4

⟿ 26 * 3 = X * 2

⟿ 13 * 3 = X

⟿ X = 39 Days. (Ans.)

Answer 2

Aɴꜱᴡᴇʀ

☞ Time taken = 39 days

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Gɪᴠᴇɴ

➤ 5 boys and 7 maen can reap a field of 168 hectare in 18 days

➤ A man can do three times as work as a boy

_________________

ᴛᴏ ꜰɪɴᴅ

➠ Time taken by 15 men and 5 boys to reap a field of 700 hectares

_________________

Sᴛᴇᴘꜱ

✭ As we know that 1 men = 3 boy, 15 men = 15×3 = 45 boy

✭ And 17 male = 3×17 = 21 boy.

So,

☞ M1 = 5 B + 21 B = 26 B

☞ M2 =45 B + 5 B = 50 B

☞ W1 = 168 Hectare

☞ W2 = 700 Hectare

✭ And we know the value of Day one as 18 days and we have to find Day 2 so let it be D

So we can finally get our answer with the help of the formula,

$\large { \underline{ \boxed{{} \sf\frac{m_1 \times d_1}{w_1} = \frac{m_2 \times d_2}{w_2}}} }$

➠ Substituting our values,

$\large \tt \dashrightarrow{} \frac{26 \times 18}{168} = \frac{50 \times \: d }{700} \\ \\ \large \sf \: so \: now \: on \: cross \: multiplication \\ \\ \large\tt \dashrightarrow{}26 \times 18 \times 100 = x \times 50 \times 24 \\ \\ \large \tt \dashrightarrow26 \times 18 \times 2 = x \times 24(50 \:is \: cancelled) \\ \\ \large \tt \dashrightarrow{}26 \times 3 = 2x \\ \\ \large \tt \dashrightarrow{}x = 13 \times 3 \\ \\ \large \tt \pink{\dashrightarrow{}x = 39 \: days}$

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