Subject
Quantitative Aptitude
Topic
Time and Work
A, B and C working individually can complete a task in 30 days, 15 days and 10 days respectively. If A starts working alone and B and C helps A on every 2ndand 3rdday respectively, how long will it take the task to be completed?
A, B and C working individually can complete a task in 30 days, 15 days and 10 days respectively. If A starts working alone and B and C helps A on every 2ndand 3rdday respectively, how long will it take the task to be completed?
ক)
15 daysখ)
14 daysগ)
12 daysঘ)
10 daysঙ)
None of theseExplanation
A একা ১ দিনে করে ১/৩০ অংশ B একা ১ দিনে করে ১/১৫ অংশ C একা ১ দিনে করে ১/১০ অংশ প্রথম ১০ দিনের জন্য হিসেব করে পাই, প্রথম ১০ দিনে A কাজ করে ১০ দিন তথা = ১০/৩০ অংশ কাজ প্রথম ১০ দিনে B কাজ করে ৫ দিন তথা = ৫/১৫ অংশ কাজ প্রথম ১০ দিনে C কাজ করে ৩ দিন তথা = ৩/১০ অংশ কাজ প্রথম ১০ দিনে A,B,C কাজ করে ১০/৩০ + ৫/১৫ + ৩/১০ = (১০ + ১০ + ৯)/৩০ = ২৯/৩০ অংশ বাকি (১ - ২৯/৩০) = ১/৩০ অংশ কাজ করতে ১ দিন সময় লাগবে। ∴ মোট দিন = ১০ + ১ = ১১ দিনRelated questions
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