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Distance, Speed and Time Problems (F)

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Distance, Speed and Time Problems (F)

Master distance–speed–time for GCSE Foundation. Use the triangle, unit conversions, and sensible rounding to tackle journeys, timetables, and average speed questions.

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Fascinating Fact:

In whale migration, 10,000 km at 120 km per day gives time = 10,000 ÷ 120 ≈ 83 days, a season-long ocean journey.

In GCSE Maths (Foundation), distance–speed–time problems use the relationships d = s × t, s = d ÷ t, and t = d ÷ s. You’ll convert units (hours ↔ minutes, km/h ↔ m/s), read timetables, and apply average speed carefully, rounding answers to sensible accuracy.

Key Terms

Speed (s): How fast something travels, e.g., km/h or m/s. s = d ÷ t.
Distance (d): How far something travels, usually in metres or kilometres. d = s × t.
Time (t): How long a journey takes, e.g., seconds, minutes, hours. t = d ÷ s.

Frequently Asked Questions (Click to see answers)

What formula links distance, speed and time?

The key relationships are d = s × t, s = d ÷ t, and t = d ÷ s. Keep units consistent (e.g., km with hours, m with seconds).

How do I convert km/h to m/s for GCSE?

Divide by 3.6. For example, 72 km/h ÷ 3.6 = 20 m/s. To go back to km/h, multiply by 3.6.

What is average speed and how do I calculate it?

Average speed is total distance ÷ total time. Add all distances and times first, then do one calculation: s_avg = D_total ÷ T_total.

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Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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