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If (A(t)=140-6t) and (B(t)=44+2t), when will (A(t)) be (16) more than (B(t))?
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Answer and explanation
Correct answer: \(t=10\)
“16 more” means \(A(t)=B(t)+16\). So, \(140-6t=44+2t+16\), which gives \(140-6t=60+2t\) and then \(80=8t\). Hence, \(t=10\). At \(t=9\), the difference is \(24\), not \(16\). Exam tip: In “more than” questions, first write the difference as \(A(t)-B(t)\).
Frequently asked questions
What is the correct answer to this question?
\(t=10\)
Why is this the correct answer?
“16 more” means \(A(t)=B(t)+16\). So, \(140-6t=44+2t+16\), which gives \(140-6t=60+2t\) and then \(80=8t\). Hence, \(t=10\). At \(t=9\), the difference is \(24\), not \(16\). Exam tip: In “more than” questions, first write the difference as \(A(t)-B(t)\).
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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