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If (A(t)=30+5t) and (B(t)=54+3t), at what (t) will (A(t)) be (6) more than (B(t))?
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Answer and explanation
Correct answer: \(t=15\)
The condition is \(A(t)=B(t)+6\). Thus, \(30+5t=54+3t+6\). Simplifying gives \(2t=30\), so \(t=15\). At \(t=14\), \(A(t)-B(t)=4\), not 6. Exam tip: Translate “6 more than” as \(A=B+6\).
Frequently asked questions
What is the correct answer to this question?
\(t=15\)
Why is this the correct answer?
The condition is \(A(t)=B(t)+6\). Thus, \(30+5t=54+3t+6\). Simplifying gives \(2t=30\), so \(t=15\). At \(t=14\), \(A(t)-B(t)=4\), not 6. Exam tip: Translate “6 more than” as \(A=B+6\).
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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