P and Q can complete work in 15 days and 10 days respectively. They started the work. together and then left after 2 days. P alone complete the remaining work. How many days in total it took to finish the work?

Shohan

8 views

2025-01-04 04:42

1 Answers

Shohan

প্রশ্নে বলা হচ্ছে, P এবং Q একটি কাজ যথাক্রমে 15 এবং 10 দিনে শেষ করতে পারে। তারা একত্রে কাজটি করলো এবং দুই দিন পর Q কাজটি ছেড়ে চলে গেলো। বাকি কাজ P একা করলো। কাজটি কত দিনে শেষ হলো?

(P+Q) এর 1 দিনে কাজটি করে = $\frac{1}{5} + \frac{1}{10} = \frac{1}{6}$ অংশ

(P+Q) এর 2 দিনে কাজটি শেষ করে= $\frac{2}{6} = \frac{1}{3}$ অংশ

অবশিষ্ট কাজ = $1 - \frac{1}{3} = \frac{2}{3}$ অংশ

এখন $\frac{1}{15}$ অংশ কাজ P করে = 1 দিনে

$\frac{2}{3}$ অংশ কাজ P করে = $\frac{15 \times 2}{3 \times 1} = 10$ দিনে

পুরো কাজটি শেষ করতে সময় লাগে = $10 + 2 = 12$ দিনে

8 views Answered 2024-12-14 13:31

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