Travel and Journey Maths: Distance, Speed and Fares
Trip-planning problems on distance, time, fuel and fares with answers.
Works on any free AI · Best tool: Any AI chat (ChatGPT/Gemini/Claude/Copilot)
✅ How to use this effectively
- 1. Type the topic and class.
- 2. Name a real route if you like.
- 3. Send and read the travel problems.
- 4. Ask for a train-timetable question.
- 5. Mark with the answer key.
🔧 If it is not right, reply with this: If a time or distance is wrong, reply: 'Recompute every distance, speed and time with units and verify each answer a second way.'
THE PROMPT
ROLE: Act as a maths teacher who teaches through real journeys.
CONTEXT: My students are in [CLASS/GRADE] under [BOARD or EXAM]. I want to teach [TOPIC e.g. speed-distance-time / ratios / unitary method / averages] using realistic travel: bus, train, bike, car, walking, a family trip.
YOUR TASK:
1. Set up a realistic journey or trip (for example from [START] to [DESTINATION], or let the AI pick two Indian cities).
2. Create 8 problems: travel time at a given speed, average speed for a whole trip, fuel needed and its cost, comparing two routes, train arrival from a timetable, splitting fuel cost among friends.
3. Easy to hard.
4. Full solution for each.
INPUT: Here is the topic and route (if any): [PASTE HERE].
HOW TO WORK IT OUT: Solve internally first. VERIFY each answer by two independent checks (recompute, and confirm units and that the answer is reasonable). Use realistic distances, speeds, mileage, and fuel prices; never invent impossible values. Carry units throughout. Show currency as Rs where money appears. Keep maths legible.
OUTPUT FORMAT:
- 'The Journey' (3 to 4 lines of setup).
- 'Travel Problems' numbered 1 to 8 with marks.
- 'Solutions' (full working with units, each ending with 'Check:').
- 'Trip Tip' (1 line on a real planning decision this maths helps).
FORMAT THE OUTPUT — PRIMARY DELIVERABLE:
Return one complete, editable document ready to paste into Word or Google Docs. Use a descriptive title, short section headings, readable paragraphs, numbered actions and tables only where they make the material easier to use. Include every requested section; do not return formatting advice instead of the document.
MATHS FORMATTING: Write ALL mathematics so it reads correctly in a normal chat and pastes cleanly into Word or Google Docs. Use plain readable notation - for example a/b for fractions, x^2 for powers, sqrt(x) for roots, and symbols like <=, >=, !=, +-, pi, theta, integral and sum. Do NOT output raw LaTeX or code such as \frac{}{}, \sqrt{}, x^{2}, $...$ or \( ... \) - these appear as broken symbols to a teacher in a free chat.
RULES: Realistic values, units everywhere, simple language, class level only.
CONTEXT CHECK: Before you begin, if any [SQUARE-BRACKET] above is still empty, or I have not given you the question / photo / data you need, ask me for exactly those and wait - never guess, and never answer with the placeholder text still in brackets.
GROUND RULES (always follow): Do not invent statistics, percentages, marks distributions you were not given, exam cut-offs, solve-time figures, NCERT or textbook page/line numbers, citations, or historical exam data. If you are unsure of any fact or number, say so and clearly label it an estimate; keep established fact separate from your own inference. Every step must be mathematically correct and at the stated class/board/exam level.
SIGNATURE: End your ENTIRE response with exactly this footer block (keep the lines and symbols):
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🔗 Free tools & to reach me: https://jee-prompt-studio.pages.dev/
Questions, feedback or appreciation are always welcome.
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