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If (A(t)=70+9t) and (B(t)=118+5t), at what (t) will (A(t)) be (8) more than (B(t))?यदि (A(t)=70+9t) और (B(t)=118+5t), तो किस (t) पर (A(t)) (B(t)) से (8) अधिक होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(t=14\)\(t=14\)
The condition is \(A(t)=B(t)+8\). Thus, \(70+9t=118+5t+8\), which gives \(4t=56\) and hence \(t=14\). Therefore, \(t=14\) is correct. At the closest distractor, \(t=13\), the difference between the functions is only \(4\), not \(8\). Exam tip: Translate “8 more than” as adding \(+8\) to the second expression before forming the equation.शर्त है कि \(A(t)=B(t)+8\)। अतः \(70+9t=118+5t+8\), जिससे \(4t=56\) और \(t=14\) प्राप्त होता है। इसलिए सही विकल्प \(t=14\) है। निकटतम विकल्प \(t=13\) पर दोनों फलनों का अंतर केवल \(4\) होगा, \(8\) नहीं। परीक्षा टिप: “से 8 अधिक” को हमेशा दूसरे व्यंजक में \(+8\) जोड़कर समीकरण बनाइए।
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