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If (A(t)=190-8t) and (B(t)=46+4t), when will (A(t)) be (12) more than (B(t))?यदि (A(t)=190-8t) और (B(t)=46+4t), तो (A(t)) कब (B(t)) से (12) अधिक होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(t=11\)\(t=11\)
“12 more” means \(A(t)=B(t)+12\). Thus, \(190-8t=46+4t+12\), which gives \(132=12t\) and hence \(t=11\). Therefore, \(t=11\) is correct. At \(t=10\), the difference between the two quantities is \(24\), not \(12\). Exam tip: In “more than” questions, set \(A(t)-B(t)\) equal to the stated difference first.“\(12\) अधिक” का अर्थ है \(A(t)=B(t)+12\)। अतः \(190-8t=46+4t+12\), जिससे \(132=12t\) और \(t=11\) प्राप्त होता है। इसलिए सही विकल्प \(t=11\) है। \(t=10\) पर दोनों राशियों का अंतर \(24\) होगा, \(12\) नहीं। परीक्षा टिप: “इतना अधिक” वाले प्रश्नों में पहले अंतर \(A(t)-B(t)\) को दिए गए अंतर के बराबर रखें।
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