Speed, Distance, Time Worksheet - WordMint - Free Printable

Problem: Solve the speed, distance, and time problems and match them with the provided options.

#### Step-by-Step Solutions:

---

1. How far does an insect crawl if they move at 2 m/s for 58 seconds?

- Formula: Distance = Speed × Time
- Given: Speed = 2 m/s, Time = 58 seconds
- Calculation:
\[
\text{Distance} = 2 \, \text{m/s} \times 58 \, \text{s} = 116 \, \text{meters}
\]
- Answer: B. 116 metres

---

2. A car journey lasts 3 and a half hours and covers 252 miles. What was the average speed?

- Formula: Average Speed = Total Distance ÷ Total Time
- Given: Distance = 252 miles, Time = 3.5 hours
- Calculation:
\[
\text{Average Speed} = \frac{252 \, \text{miles}}{3.5 \, \text{hours}} = 72 \, \text{mph}
\]
- Answer: E. 72 mph

---

3. A plane flies at 400 km/hr and travels 1800 km. How long did the flight take?

- Formula: Time = Distance ÷ Speed
- Given: Speed = 400 km/hr, Distance = 1800 km
- Calculation:
\[
\text{Time} = \frac{1800 \, \text{km}}{400 \, \text{km/hr}} = 4.5 \, \text{hours}
\]
- Answer: C. 4 hrs 30 minutes

---

4. A train journey lasts 2.4 hours at an average speed of 50 mph. What distance is the journey?

- Formula: Distance = Speed × Time
- Given: Speed = 50 mph, Time = 2.4 hours
- Calculation:
\[
\text{Distance} = 50 \, \text{mph} \times 2.4 \, \text{hours} = 120 \, \text{miles}
\]
- Answer: A. 120 miles

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5. A bird flew 111 miles in 1 hour 30 minutes. What was its average speed?

- Formula: Average Speed = Total Distance ÷ Total Time
- Given: Distance = 111 miles, Time = 1.5 hours (1 hour 30 minutes)
- Calculation:
\[
\text{Average Speed} = \frac{111 \, \text{miles}}{1.5 \, \text{hours}} = 74 \, \text{mph}
\]
- Answer: D. 74 mph

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6. I cycled 34 miles at an average speed of 8 miles per hour. How long did the journey take?

- Formula: Time = Distance ÷ Speed
- Given: Distance = 34 miles, Speed = 8 mph
- Calculation:
\[
\text{Time} = \frac{34 \, \text{miles}}{8 \, \text{mph}} = 4.25 \, \text{hours} = 4 \, \text{hours} \, 15 \, \text{minutes}
\]
- Answer: F. 4 hours 15 minutes

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7. To change a decimal hour into a number of minutes you must

- Explanation: To convert a decimal hour into minutes, multiply the decimal by 60 (since there are 60 minutes in an hour).
- Answer: G. multiply the decimal by 60

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8. To change a number of minutes into a decimal hour you must

- Explanation: To convert minutes into a decimal hour, divide the number of minutes by 60.
- Answer: I. divide the minutes by 60

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9. An aircraft took off from an airfield at 0640 and arrived at the aircraft carrier at 0940. The aircraft flew for 840 kilometres. What was its average speed?

- Formula: Average Speed = Total Distance ÷ Total Time
- Given: Distance = 840 km, Time = 3 hours (from 0640 to 0940)
- Calculation:
\[
\text{Average Speed} = \frac{840 \, \text{km}}{3 \, \text{hours}} = 280 \, \text{km/hr}
\]
- Answer: H. 280 Km/hr

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10. A lorry leaves a warehouse at 1410 hours and arrives at 1540 hours. If the journey was 99 kilometres, what was its average speed throughout the journey?

- Formula: Average Speed = Total Distance ÷ Total Time
- Given: Distance = 99 km, Time = 1 hour 30 minutes (1.5 hours)
- Calculation:
\[
\text{Average Speed} = \frac{99 \, \text{km}}{1.5 \, \text{hours}} = 66 \, \text{km/hr}
\]
- Answer: J. 66 km/hr

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Final Answers:

1. B. 116 metres
2. E. 72 mph
3. C. 4 hrs 30 minutes
4. A. 120 miles
5. D. 74 mph
6. F. 4 hours 15 minutes
7. G. multiply the decimal by 60
8. I. divide the minutes by 60
9. H. 280 Km/hr
10. J. 66 km/hr

Boxed Final Answer:
\[
\boxed{B, E, C, A, D, F, G, I, H, J}
\]