Subject
Bank Exam
Topic
জনতা ব্যাংক লিমিটেড আরসি (রুরাল ক্রেডিট) - ২৭.১০.২০২৩
A reservoir has two pipes, A and B. A can fill the reservoir 5 hours faster than B. If both together fill the reservoir in 6 hours, the reservoir will be filled by A alone in-
A reservoir has two pipes, A and B. A can fill the reservoir 5 hours faster than B. If both together fill the reservoir in 6 hours, the reservoir will be filled by A alone in-
ক)
8 hoursখ)
10 hoursগ)
11 hoursঘ)
12 hoursExplanation
Let, A alone can fill the reservoir in x hours B can fill in x + 5 hours Both complete in 1 hour = (1/x) + (1/ x + 5) = (2x + 5)/(x 2 + 5x) Now, 1/{(2x + 5)/(x 2 + 5x)} = 1/6 ⇒ (x 2 + 5x)/(2x + 5) = 6 ⇒ x 2 + 5x = 12x + 30 ⇒ x 2 - 7x - 30 = 0 ⇒ x 2 - 10x + 3x - 30 = 0 ⇒ x (x - 10) + 3 (x - 10) = 0 ⇒ (x - 10) (x + 3) = 0 ∴ x = 10 or, x = -3 , negative value not possible A alone can fill the reservoir in 10 hoursRelated questions
বাংলা ব্যাকরণ গ্রন্থ প্রথম কোন বাঙালি রচনা করেন?If 4x + y= 1 and 4x - y= 4, then the values of x and y respectively are-আচার ও বোতাম শব্দ দুটি কোন ভাষা হতে বাংলায় গৃহীত হয়েছে?√(4/3) - √(3/4) = ?দুটি বাক্যকে এক বাক্যে পরিণত করার কাজ করে কোনটি?The ages of Sabiha and Suriya are in the ratio of 7 : 3 respectively. After 6 years, the ratio of their ages will be 5 : 3. What is the difference in their ages?'মনীষা' এর সন্ধি বিচ্ছেদ -A scored 30% marks and failed by 15 marks. B scored 40% marks and obtained 35 marks more than those required to pass. The pass percentage is-