Subject
Quantitative Aptitude
Topic
Time and Work
A can complete a piece of work in 10 days,B in 15 days and C in 20 days.A and C worked together for 2 days and then A was replaced by B.In how many days,altogether ,was the work completed?
A can complete a piece of work in 10 days,B in 15 days and C in 20 days.A and C worked together for 2 days and then A was replaced by B.In how many days,altogether ,was the work completed?
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6খ)
8গ)
10ঘ)
12Explanation
(প্রশ্ন- A একটি কাজ করতে পারে ১০ দিনে,B পারে ১৫ দিনে এবং C পারে ২০ দিনে।A এবং C একত্রে ২ দিন কাজ করার পর A এর জায়গাতে B কাজ করলে সম্পূর্ণ কাজটি কত দিনে শেষ হবে?) (A+C) এর ১ দিনের সম্পন্ন কাজ =(১/১০)+(১/২০) অংশ =(২+১)/২০ =৩/২০ অংশ (A+C) এর ২ দিনের সম্পন্ন কাজ =(৩/২০)×২ =৬/২০ =৩/১০ অংশ অবশিষ্ট কাজ =১ -(৩/১০)=৭/১০ অংশ (B+C) এর ১ দিনের সম্পন্ন কাজ =(১/১৫)+(১/২০)=(৪+৩)/৬০ =৭/৬০ অংশ B এবং C একত্রে ৭/৬০ অংশ কাজ করে =১ দিনে অতএব B এবং C একত্রে ৭/১০ অংশ কাজ করে =(৬০/৭)×(৭/১০)=৬ দিনে সুতরাং মোট সময় লাগবে =(৬+২) =৮ দিনRelated questions
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