Subject
Quantitative Aptitude
Topic
Pipes & Cistern
Four pipes can fill a reservoir in 15,20,30 and 60 hours respectively.The first pipe was opened at 8 a.m,second at 9 am,third at 10 a.m and fourth at 11 a.m.When will the reservoir be full?
Four pipes can fill a reservoir in 15,20,30 and 60 hours respectively.The first pipe was opened at 8 a.m,second at 9 am,third at 10 a.m and fourth at 11 a.m.When will the reservoir be full?
ক)
1 p.mখ)
2 p.mগ)
2.30 pmঘ)
3 p.mExplanation
(প্রশ্ন- ৪ টি নল যথাক্রমে ১৫,২০,৩০,৬০ ঘন্টায় একটি জলাধার পূর্ণ করতে পারে।প্রথম নলটি ৮ a.m, দ্বিতীয়টি ৯ a.m, তৃতীয়টি ১০ a.m এবং চতুর্থটি ১১ a.m সময়ে খোলা হয়।জলাধারটি কখন পূর্ণ হবে?) মনে করি,জলাধারটি ৮ a.m এর t ঘন্টা পরে পূর্ণ হবে।তাহলে প্রথম নলটি কাজ করছে t ঘন্টা পর্যন্ত,২য় নলটি কাজ করে (t-1) ঘন্টা,৩য়টি (t-2) ঘন্টা এবং চতুর্থটি (t-3) ঘন্টা পর্যন্ত। অতএব (t/15)+(t-1)/20+(t-2)/30+(t-3)/60 =1 বা,4t+3(t-1)+2(t-2)+(t-3)=60 বা,4t+3t-3+2t-4+t-3=0 বা,10t-10=60 বা,10t=70 বা,t=7 সুতরাং জলাধারটি সকাল ৮ টা থেকে ৭ ঘন্টা পরে পূর্ণ হবে। অর্থাৎ 3 p.m হবে ।Related questions
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