AlgebraVery hardDistance at which two hire plans cost the same
Algebra practice question
A bike-hire company offers two plans. Plan A costs $30 plus $2 per kilometre ridden. Plan B costs $10 plus $6 per kilometre ridden. For what number of kilometres do the two plans cost the same?
Answer: 5
30 + 2k = 10 + 6k gives 20 = 4k, so k = 5.
Common wrong answers
- If you answered 10
- 10 divides 20 by 2 instead of by 4.
- If you answered 20
- 20 is the difference in the fixed costs.
- If you answered 2.5
- 2.5 divides 20 by 8, adding the rates instead of subtracting.
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