A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?

Shohan

6 views

2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে যে, কিছু লোক একটি কাজ 100 দিনে করতে পারে। যদি সেখানে 10 জন লোক কম হতো তবে কাজটি শেষ করতে আরো 10 দিন সময় বেশি লাগত। প্রথমে কতজন লোক ছিল?

ধরি, প্রথমে x জন লোক ছিল
x জন লোক 1 টি কাজ করে = 100 দিনে

∴ 1 জন লোক 1 টি কাজ করে $= 100 \times x = 100 x$ দিনে

এখন (x – 10) জন লোক কাজটি করে (100 + 10) = 110 দিনে

∴ এখন 1 জন লোক কাজটি করে = 110(x – 10) দিনে

প্রশ্নমতে, $100 x = 110 (x - 10)$

$\Rightarrow 100 x = 110 x - 1100$

$\Rightarrow 110 x - 100 x = 1100 \Rightarrow 10 x = 1100 ∴ x = \frac{1100}{10} = 110$

6 views Answered 2024-12-14 13:31

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