Subject
Quantitative Aptitude
Topic
Time and Work
One pipe fills a tank four times faster than another. If both pipes together fill the tank in 36 minutes, how long will the slower pipe alone take?
One pipe fills a tank four times faster than another. If both pipes together fill the tank in 36 minutes, how long will the slower pipe alone take?
ক)
2 hoursখ)
3 hoursগ)
4 hoursঘ)
1.5 hoursExplanation
ধরি, ধীর পাইপ একা ট্যাংক ভরতে x মিনিট সময় নেয়। তাহলে দ্রুত পাইপ একা ট্যাংক ভরতে x/4 মিনিট সময় নেয়। ধীর পাইপের কাজের হার = 1/x (প্রতি মিনিটে) দ্রুত পাইপের কাজের হার = 4/x (প্রতি মিনিটে) দুটি পাইপের যৌথ কাজের হার, 1/x + 4/x = 5/x যেহেতু দুটি পাইপ একসাথে ৩৬ মিনিটে ট্যাংক ভরে, (5/x) × 36 = 1 বা, 180/x = 1 বা, x = 180 মিনিট 180 মিনিট = 180 ÷ 60 = 3 ঘন্টাRelated questions
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