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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsHard
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In a tank (30) litres of water are filled in the first minute and (11) litres more in each next minute. In which minute will (206) litres be filled?

Answer and explanation

Correct answer: 17

The amount filled each minute forms an arithmetic progression with first term 30 and common difference 11. Thus, the amount in the nth minute is 30 + (n-1)×11. For 206 litres, 30 + (n-1)×11 = 206, so (n-1)×11 = 176 and n = 17. Therefore, 206 litres are filled in the 17th minute. In the 16th minute, the amount is 195 litres, so it is a close but incorrect option. Exam tip: use a_n = a+(n-1)d when a particular term of an AP is given.

Related tags

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