Subject
Quantitative Aptitude
Topic
Time and Work
A can finish a work in 18 days and B can do the same work in half the time taken by A.Then, working together,what part of the same work they can finish in a day?
A can finish a work in 18 days and B can do the same work in half the time taken by A.Then, working together,what part of the same work they can finish in a day?
ক)
1/6খ)
1/9গ)
2/5ঘ)
2/7Explanation
(A একটি কাজ ১৮ দিনে করতে পারে যা B করতে পারে A এর অর্ধেক সময়ে ।তারা একত্রে কাজটি করলে কত দিনে কাজটি শেষ হবে?) A একা ১৮ দিনে সম্পন্ন করে কাজটির ১ অংশ A একা ১ দিনে সম্পন্ন করে কাজটির ১/১৮ অংশ এখন,B একই কাজ করতে A এর অর্ধেক সময় অর্থাৎ ১৮/২ =৯ দিনেই কাজটি সম্পূর্ণ করতে পারে। তাই আমরা বলতে পারে, B একা ৯ দিনে সম্পন্ন করে কাজটির ১ অংশ B একা ১ দিনে সম্পন্ন করে কাজটির ১/৯ অংশ অতএব (A+B) একত্রে ১ দিনে সম্পন্ন করে =(১/১৮) + (১/৯)=(১+২)/১৮ =৩/১৮=১/৬Related questions
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