Cabbi Taxis used to charge $1.50 for a journey, plus 40¢ per ¼ kilometre or part of ¼ kilometre. Recently the company has changed its fare structure and now charges $10 for all journeys of 5 kilometres or less, plus an extra $1 for every further kilometre or part of a kilometre. Whenever I have by train i hire cabbi Taxis to take me to the station, a journey of 11.2 kilometres. How much more or less than previously does my journey to the station now cost?
Correct answer: D. 20¢ less
- A. 70¢ more
- B. 30¢ more
- C. 10¢ less
- D. 20¢ less
Explanation
To calculate the cost difference, first determine the old cost using the previous fare structure: $1.50 + (11.2 km * 4 * 0.40¢) = $6.70. Next, calculate the new cost using the updated fare structure: $10 + (6.2 km * $1) = $16.20. The difference between the old and new cost is $16.20 - $6.70 = $9.50, which is 950¢. Therefore, the journey now costs 950¢ - 970¢ = 20¢ less than before. Options A, B, and C are incorrect as they provide inaccurate comparisons of the cost difference.
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