Distance, Speed, and Time (B) Worksheet | PDF Printable Operations ... - Free Printable

Let’s work through each part of the worksheet step by step.

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Section A: Use conversions between miles and kilometers

We’ll use these standard approximations (since the worksheet says “approximately”):

- 1 kilometer ≈ 0.62 miles
- 1 mile ≈ 1.61 kilometers

*(Note: These are rounded to 2 decimal places as instructed.)*

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1) Which is further, a kilometer or a mile?

→ A mile is longer than a kilometer.
✔ Answer: a mile

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2) Approximately how many miles are there in 1 kilometer?

→ We know 1 km ≈ 0.62 miles
✔ Answer: 0.62

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3) Approximately how many kilometers are there in 1 mile?

→ We know 1 mile ≈ 1.61 kilometers
✔ Answer: 1.61

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4) How many kilometers are there in 5 miles?

→ Multiply: 5 × 1.61 = 8.05
✔ Answer: 8.05

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5) Change 4 kilometers to miles.

→ Multiply: 4 × 0.62 = 2.48
✔ Answer: 2.48

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Section B: Complete the tables for different speed units

Remember:
Average Speed = Distance ÷ Time

We must make sure units match! For example, if distance is in km and time in minutes, convert time to hours first.

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First Table (Speed in km/h)

Row 1:
Distance = 600 km
Time = 180 minutes → convert to hours: 180 ÷ 60 = 3 hours
Speed = 600 ÷ 3 = 200.00 km/h

Row 2:
Distance = 17445 m → convert to km: 17445 ÷ 1000 = 17.445 km
Time = 6 hours
Speed = 17.445 ÷ 6 = 2.9075 → round to 2 decimals: 2.91 km/h

Row 3:
Distance = 9990 m → 9.990 km
Time = 3 hrs 40 mins → 3 + 40/60 = 3.666... hours ≈ 3.67 hours (but let’s keep more precision for calculation)
Actually, better to use exact fraction: 3 hrs 40 mins = 3 + 2/3 = 11/3 hours
Speed = 9.990 ÷ (11/3) = 9.990 × 3 / 11 = 29.97 / 11 = 2.7245... → 2.72 km/h

Wait — let me recalculate with decimals:

3 hrs 40 mins = 3.6667 hours (approx)
9.990 ÷ 3.6667 ≈ 2.7245 → still 2.72 km/h

✔ Answer: 2.72

Row 4:
Distance = 120 miles → convert to km: 120 × 1.61 = 193.2 km
Time = 2 hours
Speed = 193.2 ÷ 2 = 96.60 km/h

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Second Table (Speed in m/s)

Remember:
1 km = 1000 m
1 hour = 3600 seconds
1 minute = 60 seconds

Row 1:
Distance = 180 m
Time = 2 minutes = 120 seconds
Speed = 180 ÷ 120 = 1.50 m/s

Row 2:
Distance = 0.08 km = 80 m
Time = 50 seconds
Speed = 80 ÷ 50 = 1.60 m/s

Row 3:
Distance = 3 km 600 m = 3600 m
Time = 5 hours = 5 × 3600 = 18000 seconds
Speed = 3600 ÷ 18000 = 0.2 → 0.20 m/s

Row 4:
Distance = 5000 miles → convert to meters:
First, 1 mile ≈ 1.61 km = 1610 m
So 5000 miles = 5000 × 1610 = 8,050,000 m
Time = 400000 seconds
Speed = 8,050,000 ÷ 400,000 = 20.125 → 20.13 m/s (rounded to 2 decimals)

Wait — let’s double-check that conversion:

Actually, 1 mile = 1609.34 meters exactly, but since the worksheet uses approximate values (like 1.61 km per mile), we should stick with 1.61 km = 1610 m.

So 5000 × 1610 = 8,050,000 m
8,050,000 ÷ 400,000 = 20.125 → rounds to 20.13 m/s

✔ Final answers for Section B:

First table:
- Row 1: 200.00
- Row 2: 2.91
- Row 3: 2.72
- Row 4: 96.60

Second table:
- Row 1: 1.50
- Row 2: 1.60
- Row 3: 0.20
- Row 4: 20.13

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Final Answer:

Section A:
1) a mile
2) 0.62
3) 1.61
4) 8.05
5) 2.48

Section B:
First table (km/h):
200.00, 2.91, 2.72, 96.60

Second table (m/s):
1.50, 1.60, 0.20, 20.13