Subject
Quantitative Aptitude
Topic
Time and Work
Work done by A in one day is half of the work done by B in one day.Work done by B is half of the work done by C in one day.If C alone can complete the work in 7 days,in how many days can A ,B and C together complete the work?
Work done by A in one day is half of the work done by B in one day.Work done by B is half of the work done by C in one day.If C alone can complete the work in 7 days,in how many days can A ,B and C together complete the work?
ক)
4খ)
14গ)
21ঘ)
28Explanation
(প্রশ্ন- A একদিনে কাজ করে B এর অর্ধেক।B একদিনে কাজ করে C এর অর্ধেক। যদি C একা কাজটি ৭ দিনে করতে পারে,তাহলে তারা একত্রে কাজটি কতদিনে করতে পারে?) C একা ১ দিনে সম্পন্ন করে কাজটির =১/৭ অংশ B একা ১ দিনে সম্পন্ন করে কাজটির =(১/৭)×(১/২) =১/১৪ অংশ A একা ১ দিনে সম্পন্ন করে কাজটির =(১/১৪)×(১/২)=১/২৮ অংশ অতএব (A+B+C)একত্রে ১ দিনে সম্পন্ন করে কাজটির =(১/২৮)+(১/১৪)+(১/৭) =(১+২+৪)/২৮ অংশ =৭/২৮ =১/৪ অংশ অতএব A,B এবং C একত্রে ৪ দিনে কাজটি শেষ করে।Related questions
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