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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsExpert
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In a tank (44) litres of water are filled in the first minute and (13) litres more in each next minute. In which minute will (239) litres be filled?

Answer and explanation

Correct answer: 16th minute

The amount filled each minute forms an AP with \(a=44\) and \(d=13\). Thus, the amount filled in the \(n\)th minute is \(a_n=44+(n-1)13\). Solving \(44+(n-1)13=239\) gives \((n-1)13=195\), so \(n-1=15\) and \(n=16\). Therefore, 239 litres are filled in the 16th minute. In the 15th minute, the amount is \(226\) litres, making it a close but incorrect option. Exam tip: for “in which minute,” use \(a_n\), not the cumulative sum \(S_n\).

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermLinear EquationsClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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