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Case study·Standard multi-step (3/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A taxi fare has a fixed charge plus a constant charge per kilometre. An 88 km trip costs Rs 140140, and a 1515 km trip costs Rs 245245.
Total: 4 marks

(a) Let the fixed charge be ff and charge per km be rr. Form two equations. (1 mark)

(b) Find ff and rr. (2 marks)

(c) Find the fare for a 2020 km trip. (1 mark)

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cbse-math-10.u2.t2-2.case.005

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