Worksheet 1 Speed Distance and Time | PDF | Speed | Mechanics - Free Printable

Let's solve the Speed, Distance and Time Worksheet 1 step by step.

We use the fundamental formula:

> Distance = Speed × Time
> Speed = Distance ÷ Time
> Time = Distance ÷ Speed

The triangle at the top helps you remember:
- Cover Distance → Speed × Time
- Cover Speed → Distance ÷ Time
- Cover Time → Distance ÷ Speed

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✔ Section 1: Calculate the distance travelled in each journey

#### a. 3 hours at 40 mph
Distance = Speed × Time
= 40 mph × 3 h = 120 miles

✔ Distance = 120 miles

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#### b. 55 km/h for 3.5 hours
Distance = 55 km/h × 3.5 h
= 55 × 3.5 = 192.5 km

✔ Distance = 192.5 km

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#### c. 4 seconds at 3 m/s
Distance = 3 m/s × 4 s = 12 m

✔ Distance = 12 m

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#### d. 5.25 hours at 50 km/h
Distance = 50 km/h × 5.25 h
= 50 × 5.25 = 262.5 km

✔ Distance = 262.5 km

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#### e. 30 mph for 20 minutes
⚠️ Time is in minutes, but speed is in hours, so convert 20 minutes to hours:

20 min = 20/60 = 1/3 hour ≈ 0.333 hours

Distance = 30 mph × (1/3) h = 10 miles

✔ Distance = 10 miles

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✔ Section 2: Calculate the average speed of each journey

#### a. 150 miles in 5 hours
Speed = Distance ÷ Time
= 150 miles ÷ 5 h = 30 mph

✔ Speed = 30 mph

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#### b. 120 km in 3 hours
Speed = 120 km ÷ 3 h = 40 km/h

✔ Speed = 40 km/h

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#### c. 20 m in 4 seconds
Speed = 20 m ÷ 4 s = 5 m/s

✔ Speed = 5 m/s

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#### d. 87.5 miles in 3.5 hours
Speed = 87.5 ÷ 3.5
Let’s calculate:
87.5 ÷ 3.5 = 25 mph

✔ Speed = 25 mph

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#### e. 9 km in 45 minutes
Convert 45 minutes to hours:
45 ÷ 60 = 0.75 hours

Speed = 9 km ÷ 0.75 h = 12 km/h

✔ Speed = 12 km/h

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✔ Final Answers:

#### Section 1 – Distance
a. 120 miles
b. 192.5 km
c. 12 m
d. 262.5 km
e. 10 miles

#### Section 2 – Average Speed
a. 30 mph
b. 40 km/h
c. 5 m/s
d. 25 mph
e. 12 km/h

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