Three workers can do a job in 12 days . Two of the workers work twice as fast as the third . How long would it take one of the fastest workers to do the job alone?
A. 30
B. 35
C. 40
D. 45
সঠিক উত্তরঃ
A.
30
Explanation:
Another Explanation (5): ```html
কাজের হিসাব 👷♀️👷♂️
তিনজন কর্মী একটি কাজ ১২ দিনে করতে পারে। তাদের মধ্যে দুইজন কর্মীর কাজের গতি তৃতীয় কর্মীর চেয়ে দ্বিগুণ। দ্রুততম কর্মী একা কাজটি কত দিনে করতে পারবে?
worker analysis 🧑🔧
- মোট কর্মী: ৩ জন 🧑💼🧑💼🧑💼
- মোট দিন: ১২ দিন 📅📅📅📅📅📅📅📅📅📅📅📅
- সম্পর্ক: ২ জন কর্মীর গতি তৃতীয় জনের দ্বিগুণ 🚀🚀
গণিতের সমাধান 🧮
ধরি, তৃতীয় কর্মীর একদিনের কাজের পরিমাণ = x
তাহলে, দ্রুত গতির কর্মীদের একজনের একদিনের কাজের পরিমাণ = 2x
সুতরাং, তিনজনের একত্রে একদিনের কাজের পরিমাণ = 2x + 2x + x = 5x
কাজটি শেষ করতে মোট কাজের পরিমাণ = 5x * 12 = 60x
এখন, দ্রুত গতির একজন কর্মীর একদিনের কাজের পরিমাণ 2x হলে, সম্পূর্ণ (60x) কাজটি করতে সময় লাগবে = 60x / 2x = 30 দিন ⏱️
ফলাফল 🎉
অতএব, দ্রুততম কর্মী একা কাজটি ৩০ দিনে করতে পারবে। 🥳
ফলাফলের টেবিল 📊
| কর্মী 🧑💼 | কাজের গতি 🚀 | সময় (দিন) 📅 |
|---|---|---|
| দ্রুততম কর্মী (একজন) | 2x | 30 |
| তৃতীয় কর্মী (একজন) | x | 60 |
| তিনজন কর্মী (একসাথে) | 5x | 12 |
যদি তিনজন কর্মীর কাজের গতি সমান হতো তবে কাজটি দ্রুত শেষ হত। 🤷♀️
কাজের গতি বাড়াতে নতুন প্রযুক্তি ব্যবহার করা যেতে পারে। 💡
টিম ওয়ার্ক সবসময় ভালো ফল দেয়। 👍
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