AlgebraMediumTwo speeds for a total distance
Algebra practice question
A cyclist rides at 18 kilometres per hour for t hours and then at 24 kilometres per hour for 2 hours, covering 84 kilometres in total. What is the value of t?
Answer: 2
18t + 24(2) = 84 → 18t = 36 → t = 2.
Common wrong answers
- If you answered 36
- 36 is the distance of the first leg, in kilometres.
- If you answered 4.67
- 4.67 comes from 18t = 84, ignoring the second leg.
- If you answered 3.5
- 3.5 comes from 24t = 84, using the wrong speed.
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