A alone can reap a certain field in 15 days and B in 12 days. If A begins alone and after a certain interval B joins him, the field is reaped in 7.5 days. How long did A and B work together. (Work & Time)

Shohan

18 views

2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে, একটি জমির ধান কাটতে A একাকী 15 দিন এবং B একাকী 12 দিন সময় নেয়। যদি A একাকী ধান কাটা শুরু করে এবং কিছুদিন পর B তার সাথে যোগ দেয়, এরফলে মোট 7.5 দিনে তারা সম্পূর্ণ জমির ধান কাটতে পারলো। A এবং B একসাথে কতদিন কাজ করেছিল?

Let, B works for x days

In 1 day A can do $= \frac{1}{15} p a r t$

In 7.5 days A can do $= \frac{7.5}{15} = \frac{1}{2}$ part

In 1 day B can do $= \frac{1}{12}$ part

In x day B can do $= \frac{x}{12}$ part

According to the question, $\frac{1}{2} + \frac{x}{12} = 1$

$\Rightarrow \frac{6 + x}{12} = 1 \Rightarrow 6 + x = 12 ∴ x = 12 - 6 = 6 d a y s T h u s, A a n d B w o r k 6 d a y s t o g e t h e r .$

18 views Answered 2024-12-14 13:31

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