Subject
Quantitative Aptitude
Topic
Time and Work
A type has two punctures.The first puncture alone would have made the type flat in 9 minutes and the second alone would have done it in 6 minutes.If all leaks out at a constant rate ,how long does it take both the punctures together to make it flat?
A type has two punctures.The first puncture alone would have made the type flat in 9 minutes and the second alone would have done it in 6 minutes.If all leaks out at a constant rate ,how long does it take both the punctures together to make it flat?
ক)
1(1/2)খ)
3(1/2)গ)
3(3/5)ঘ)
4(1/4)Explanation
(প্রশ্ন- একটি টায়ারে ২ টি ছিদ্র রয়েছে। ১ম ছিদ্রটি টায়ারকে ৯ মিনিটে বায়ুশূণ্য করতে পারে এবং ২য় ছিদ্রটি ৬ মিনিটে বায়ুশূন্য করতে পারে।একই হারে দুইটি ছিদ্র কতক্ষনে টায়ারটিকে বায়ুশূণ্য করতে পারবে?) প্রথম ছিদ্রের সাহায্যে ৯ মিনিটে বায়ু শূণ্য হয় = ১ অংশ প্রথম ছিদ্রের সাহায্যে ১ মিনিটে বায়ু শূণ্য হয় =১/৯ অংশ ২য় ছিদ্রের সাহায্যে ৬ মিনিটে বায়ু শূণ্য হয় =১ অংশ ২য় ছিদ্রের সাহায্যে ১ মিনিটে বায়ু শূণ্য হয় =১/৬ অংশ অতএব উভয় ছিদ্র এক সাথে ১ মিনিটে বায়ু শূণ্য করে =(১/৯)+(১/৬) অংশ =(২+৩)/১৮ =৫/১৮ অংশ অতএব ৫/১৮ অংশ বায়ু শূণ্য করে =১ মিনিটে ১ অংশ বায়ু শূণ্য করে =১৮/৫ =৩(৩/৫) মিনিটেRelated questions
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