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If (A(t)=280-13t) and (B(t)=65+5t), when will (A(t)) be (17) more than (B(t))?
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Answer and explanation
Correct answer: \(t=11\)
“17 more” means \(A(t)=B(t)+17\). Therefore, \(280-13t=65+5t+17\), which gives \(198=18t\) and hence \(t=11\). Substituting \(t=10\) gives a difference of 35, not 17. Exam tip: In “more than” questions, first write the difference between the two quantities.
Frequently asked questions
What is the correct answer to this question?
\(t=11\)
Why is this the correct answer?
“17 more” means \(A(t)=B(t)+17\). Therefore, \(280-13t=65+5t+17\), which gives \(198=18t\) and hence \(t=11\). Substituting \(t=10\) gives a difference of 35, not 17. Exam tip: In “more than” questions, first write the difference between the two quantities.
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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