If (A(t)=190-8t) and (B(t)=46+4t), when will (A(t)) be (12) more than (B(t))?
Answer and explanation
Correct answer: \(t=11\)
“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.
Frequently asked questions
What is the correct answer to this question?
\(t=11\)
Why is this the correct answer?
“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.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Introduction to Polynomials. Topic: Linear growth and decay.
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