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P6 Maths: Speed, Distance and Time (Paper 2 (intermediate))
Tutor Prep Guide · Using speed, distance and time in all three directions, converting between km/h and m/s, meeting and catching-up problems, average speed and diagnosing common slips
P6 Maths: Speed, Distance and Time (Paper 2 (intermediate))
Paper 2 (intermediate): ten speed questions on finding speed, distance and time, with answers and one-line notes.
Direct answers Level: P6 maths; format: applying the speed formula, unit conversion, meeting and catching up, average speed and error diagnosis.
01 Paper details (check answers afterwards)
| Item | Detail |
|---|---|
| Questions | 10 |
| Suggested time | 20 |
| Difficulty mix | Foundation 3 · Intermediate 3 · Challenge 3 · Error redo 1 |
| Chapter | Chapter: P6 Maths: Speed, Distance and Time |
| Level | P6 |
02 Questions (10 items)
- FoundationA trip out at 60 km/h and back at 40 km/h over the same road. What is the average speed?
- FoundationA journey of 90 km takes 1 hour 15 minutes. What is the speed in km/h?
- FoundationRunning 450 m takes 1 minute 30 seconds. Give the speed in m/s and in km/h.
- IntermediateA 200 m long train at 72 km/h passes completely through a 400 m tunnel. How many seconds?
- IntermediateTwo people 480 m apart walk towards each other at 5 m/s and 3 m/s. When do they meet?
- IntermediatePerson A leaves 60 seconds early at 4 m/s. Person B runs at 6 m/s. How long until B catches A?
- ChallengeAt 90 km/h, how far do you travel in 2 hours 20 minutes?
- ChallengeA 12 km route takes 30 minutes for the first 6 km and 20 minutes for the rest. Find the average speed.
- ChallengeA speed of 25 m/s is how many km/h, and how long does 1.5 km take?
- Error redoError clinic: going at 60 and returning at 40 gives an average speed of 50 km/h. Is this right?
03 Answers and one-line notes
| # | Answer | One-line note |
|---|---|---|
| 1 | 48 km/h. | For equal distances, the average speed is 2 times 60 times 40 divided by 100, that is 48, not 50. |
| 2 | 72 km/h. | One hour 15 minutes is 1.25 hours, and 90 divided by 1.25 is 72. |
| 3 | 5 m/s, which is 18 km/h. | Ninety seconds into 450 m gives 5 m/s, and multiplying by 3.6 gives 18 km/h. |
| 4 | 30 seconds. | The train must cover its own length plus the tunnel, 600 m, at 20 m/s, giving 30 seconds. |
| 5 | After 60 seconds. | Add the speeds when moving towards each other, so 480 divided by 8 is 60 seconds. |
| 6 | 120 seconds. | A is 240 m ahead and B closes 2 m each second, so 240 divided by 2 is 120 seconds. |
| 7 | 210 km. | Two hours 20 minutes is seven thirds of an hour, and 90 times 7 divided by 3 is 210 km. |
| 8 | 14.4 km/h. | Total time is 50 minutes, that is five sixths of an hour, and 12 divided by that is 14.4 km/h. |
| 9 | 90 km/h, and 60 seconds. | Multiply 25 by 3.6 to get 90, then divide 1 500 m by 25 to get 60 seconds. |
| 10 | No, it is 48 km/h. | Average speed is total distance over total time, so the two speeds cannot simply be averaged. |
04 What to do after marking
- After marking, redo only the wrong items and write down which step went wrong (formula, unit, or misread number).
- Repeat the same item two days later; move to the next paper only when both attempts are correct.
- Parents only need the answer and note columns; there is no need to explain every item.
Check the answers, and for any wrong item confirm the units first, then copy the working and redo it.Tutor Registration →
Questions and answers are written originally by the TutorZone team and are not taken from any school, publisher or examination authority paper. Every value is checked by computer.
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