16Hit1600
Advanced MathVery hardHalf-life: time to reach a given amount

Advanced Math practice question

A sample of a substance decays so that its mass halves every 5 hours. If the sample has a mass of 400 grams now, after how many hours will its mass be 50 grams?

Answer: 15

400 → 200 → 100 → 50 is three halvings, and 3 × 5 = 15 hours.

Common wrong answers

If you answered 10
10 hours is two halvings, leaving 100 grams.
If you answered 20
20 hours is four halvings, leaving 25 grams.
If you answered 40
40 comes from 400 ÷ 50 = 8 and then 8 × 5, using the ratio as a count of halvings; 8 = 2³, so three halvings.

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