AlgebraEasy–MediumDistance at which two fares are equal
Algebra practice question
One taxi firm charges $2 per kilometre plus a $10 booking fee. A second firm charges $3 per kilometre but gives a $4 discount on the total. For what distance, in kilometres, are the two fares equal?
Answer: 14
2d + 10 = 3d − 4 gives d = 14.
Common wrong answers
- If you answered 6
- 6 comes from 2d + 10 = 3d + 4, treating the discount as a charge.
- If you answered 7
- 7 halves 14.
- If you answered 14.67
- 14.67 divides 44 by 3.
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