Subject
Bank Exam
Topic
Dutch-Bangla Bank Ltd. - Assistant Officer - 2017
Zaman, cycling along the boundary of a rectangular field at the speed of 12 km/hr, completes one round in 8 minutes. If he ratio between the length and the breadth of the field is 3:2, then what is the area of the field (in sq.m) ?
Zaman, cycling along the boundary of a rectangular field at the speed of 12 km/hr, completes one round in 8 minutes. If he ratio between the length and the breadth of the field is 3:2, then what is the area of the field (in sq.m) ?
ক)
15360খ)
153600গ)
30720ঘ)
307200ঙ)
None of theseExplanation
Solution: প্রশ্নে বলা হচ্ছে যে, একটি আয়তাকার মাঠ 12 km/hr বেগে ভ্রমণ করে Zaman ৮ মিনিটে একটি পূর্ণ চক্র সম্পাদান করে । যদি মাঠটির দৈর্ঘ্য প্রস্থের অনুপাত 3 : 2 হয়, তাহলে মাঠটির ক্ষেত্রফল কত ? মনে করি, দৈর্ঘ্য 3x মিটার এবং প্রস্থ 2x মিটার মাঠটির পরিধি হবে = 2(3x + 2x) = 2 5x = 10x এখন আমরা 12 km/hr কে m/s এ পরিণত করে পাই আবার, 8 মিনিট = 8 60 = 480 সেকেন্ড আমরা জানি, গতিবেগ = অতিক্রান্ত দুরত্ব সময় । অর্থাৎ 10/3 = অতিক্রান্ত দূরত্ব/480 অতিক্রান্ত দূরত্ব = 1600 মিটার প্রশ্নমতে, 10x = 1600 মিটার x = 160 মিটার অতএব মাঠটির দৈর্ঘ্য = 3 160 = 480 মিটার এবং প্রস্থ = 2 160 = 320 মিটার অতএব, ক্ষেত্রফল = 480 320 = 153600 মিটারRelated questions
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