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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasyLevel 70
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In a training program, practice is (30) minutes on the first day and (10) minutes more each next day. What is the total practice time for (5) days?

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Answer and explanation

Correct answer: 250 minutes

The daily practice times form an AP: 30, 40, 50, 60, 70. Hence, the total is \(30+40+50+60+70=250\) minutes. The value 225 would result from incorrectly taking the average as 45 minutes; for five terms, the correct average is the middle term, 50 minutes. Exam tip: For an odd number of AP terms, sum = number of terms × middle term.

Related tags

Arithmetic ProgressionAp Word ProblemsSum Of ApClass 10 MathematicsSequence And Series

Frequently asked questions

What is the correct answer to this question?

250 minutes

Why is this the correct answer?

The daily practice times form an AP: 30, 40, 50, 60, 70. Hence, the total is \(30+40+50+60+70=250\) minutes. The value 225 would result from incorrectly taking the average as 45 minutes; for five terms, the correct average is the middle term, 50 minutes. Exam tip: For an odd number of AP terms, sum = number of terms × middle term.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Word problems based on APs.

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