Let's analyze the
distance-time graph to answer each of the questions about Zayn’s journey to school.
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🔍 Understanding the Graph
- The
x-axis is
time in minutes (min).
- The
y-axis is
distance from home in meters (m).
- The red line shows Zayn’s journey:
1.
Walking to the bus stop
2.
Waiting for the bus (no movement)
3.
Taking the bus to school
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✔ Question 1: How far does Zayn travel to school?
Look at the
final distance on the y-axis when the journey ends.
- At
10 minutes, the distance reaches
1600 m.
- So, Zayn travels
1600 meters to school.
>
✔ Answer: 1600 meters
---
✔ Question 2: How long does Zayn’s journey take?
Look at the total time from start to finish.
- Journey starts at
0 minutes.
- Ends at
10 minutes.
>
✔ Answer: 10 minutes
---
✔ Question 3: How long does Zayn wait for the bus?
During the
wait, the distance doesn’t change → the graph is
flat.
- From
5 minutes to 8 minutes, the distance stays at
400 m.
- So, he waits for:
$ 8 - 5 = 3 $ minutes
>
✔ Answer: 3 minutes
---
✔ Question 4: At what speed does Zayn walk?
He walks from
0 to 5 minutes, covering
400 meters.
- Distance walked = 400 m
- Time taken = 5 min
Speed = $ \frac{\text{Distance}}{\text{Time}} $
$$
\text{Speed} = \frac{400\ \text{m}}{5\ \text{min}} = 80\ \text{m/min}
$$
>
✔ Answer: 80 meters per minute
*(Note: This is a reasonable walking speed — about 4.8 km/h)*
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✔ Question 5: At what speed does the bus travel?
The bus part is from
8 minutes to 10 minutes, covering:
- Distance: from 400 m to 1600 m → $ 1600 - 400 = 1200 $ m
- Time: $ 10 - 8 = 2 $ minutes
$$
\text{Speed} = \frac{1200\ \text{m}}{2\ \text{min}} = 600\ \text{m/min}
$$
>
✔ Answer: 600 meters per minute
*(This is very fast — 600 m/min = 36 km/h, which is a typical bus speed)*
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📝 Summary of Answers:
| Question | Answer |
|--------|--------|
| How far does Zayn travel to school? |
1600 meters |
| How long does Zayn’s journey take? |
10 minutes |
| How long does Zayn wait for the bus? |
3 minutes |
| At what speed does Zayn walk? |
80 m/min |
| At what speed does the bus travel? |
600 m/min |
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Let me know if you'd like this converted into km/h or explained further! 🚶♂️🚌
Parent Tip: Review the logic above to help your child master the concept of distance time graphs worksheet.
