Subject
Quantitative Aptitude
Topic
Time and Work
A pipe can fill a cistern in 6 hours but stops after 4 hours. Another pipe, which can fill the tank in 10 hours, is used to finish the job. How long will the second pipe take to fill the rest?
A pipe can fill a cistern in 6 hours but stops after 4 hours. Another pipe, which can fill the tank in 10 hours, is used to finish the job. How long will the second pipe take to fill the rest?
ক)
2 hoursখ)
10/3 hoursগ)
3 hoursঘ)
4/3 hoursExplanation
৬ ঘণ্টায় পুরো ট্যাংক ভরতে পারে তাই ১ ঘণ্টায় ভরতে পারে = ১/৬ অংশ দ্বিতীয় পাইপ ১০ ঘণ্টায় পুরো ট্যাংক ভরতে পারে তাই ১ ঘণ্টায় ভরতে পারে = ১/১০ অংশ প্রথম পাইপ ৪ ঘণ্টা চালু ছিল ৪ ঘণ্টায় ভরেছে = ৪ × (১/৬) = ৪/৬ = ২/৩ অংশ পুরো ট্যাংক = ১ প্রথম পাইপ ভরেছে = ২/৩ বাকি আছে = ১ - ২/৩ = ১/৩ অংশ দ্বিতীয় পাইপ ১ ঘণ্টায় ভরে ১/১০ অংশ বাকি ১/৩ অংশ ভরতে সময় লাগবে = (১/৩) ÷ (১/১০) = (১/৩) × ১০ = ১০/৩ ঘণ্টাRelated questions
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