| Exam Board | OCR |
| Module | Pure 1 (Pure Mathematics 1) |
| Year | 2018 |
| Session | December |
| Topic | Inequalities |
1 In this question you must show detailed reasoning.
Andrea is comparing the prices charged by two different taxi firms.
Firm A charges \(\pounds 20\) for a 5 mile journey and \(\pounds 30\) for a 10 mile journey, and there is a linear relationship between the price and the length of the journey.
Firm B charges a pick-up fee of \(\pounds 3\) and then \(\pounds 2.40\) for each mile travelled.
Find the length of journey for which both firms would charge the same amount.