Subject
Quantitative Aptitude
Topic
Time and Work
Two pipes, A and B, can fill an empty tank in 12 minutes and 18 minutes. If both the pipes are opened, how long will they take to fill the empty tank?
Two pipes, A and B, can fill an empty tank in 12 minutes and 18 minutes. If both the pipes are opened, how long will they take to fill the empty tank?
ক)
3.4খ)
4.6গ)
6.5ঘ)
7.2Explanation
ধরা যাক, সম্পূর্ণ ট্যাংকের আয়তন ১ একক। প্রথম নল (A) 12 মিনিটে পুরো ট্যাংকটি ভর্তি করতে পারে। সুতরাং, নল A প্রতি মিনিটে ট্যাংকের 1/12 অংশ ভর্তি করে। দ্বিতীয় নল (B) 18 মিনিটে পুরো ট্যাংকটি ভর্তি করতে পারে। সুতরাং, নল B প্রতি মিনিটে ট্যাংকের 1/18 অংশ ভর্তি করে। যদি দুটি নল একসাথে খোলা হয়, তবে তারা প্রতি মিনিটে ট্যাংকের (1/12 + 1/18) = 5/36 অংশ ভর্তি করবে। পুরো ট্যাংকটি ভর্তি করতে সময় লাগবে = 1/(5/36) = 7.2 মিনিটRelated questions
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