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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsHard
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In a tank (25) litres of water are filled in the first minute and (8) litres more in each next minute. In which minute will (121) litres be filled?

Answer and explanation

Correct answer: 13

The amount filled each minute forms an AP with first term \(a=25\) and common difference \(d=8\). In the \(n\)th minute, the amount is \(a_n=25+(n-1)\times 8\). Solving \(25+(n-1)\times8=121\) gives \(n-1=12\), so \(n=13\). Hence, 121 litres are filled in the 13th minute. In the 12th minute, the amount would be only 113 litres. Exam tip: for a specified term of an AP, use \(a_n=a+(n-1)d\).

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermCommon DifferenceClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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