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If (M(t)=35+5t) and (N(t)=65-3t), when will (M(t)) be (10) more than (N(t))?
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Answer and explanation
Correct answer: \(t=5\)
The required condition is \(M(t)=N(t)+10\). So, \(35+5t=65-3t+10\), or \(35+5t=75-3t\). This gives \(8t=40\), hence \(t=5\). At \(t=4\), the difference is only \(2\), so it is not correct. Exam tip: translate “10 more than” as \(M=N+10\).
Frequently asked questions
What is the correct answer to this question?
\(t=5\)
Why is this the correct answer?
The required condition is \(M(t)=N(t)+10\). So, \(35+5t=65-3t+10\), or \(35+5t=75-3t\). This gives \(8t=40\), hence \(t=5\). At \(t=4\), the difference is only \(2\), so it is not correct. Exam tip: translate “10 more than” as \(M=N+10\).
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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