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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