Set of three problem-solving worksheets labeled A, B, and C, each featuring word problems on calculating average speed, distance, and time for various modes of transportation and activities.

Let's solve each problem step by step, using the formula for average speed:

> Average Speed = Distance ÷ Time

We’ll go through each section (A, B, C) and solve every question.

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Section A

#### 1) A car travels at 60 km per hour for 3 hours. How far does it travel?

Use:
Distance = Speed × Time
= 60 km/h × 3 h = 180 km

✔ Answer: 180 km

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#### 2) Travelling at 80 mph, how long does it take a train to travel 400 miles?

Use:
Time = Distance ÷ Speed
= 400 miles ÷ 80 mph = 5 hours

✔ Answer: 5 hours

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#### 3) A car travels 280 km in 4 hours. Write down the average speed.

Average Speed = Distance ÷ Time
= 280 km ÷ 4 h = 70 km/h

✔ Answer: 70 km/h

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#### 4) A cyclist completes 175 miles in 7 hours.

Average Speed = 175 miles ÷ 7 h = 25 mph

✔ Answer: 25 mph

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#### 5) A runner covers 7 km in 30 minutes.

First, convert time to hours:
30 minutes = 0.5 hours

Average Speed = 7 km ÷ 0.5 h = 14 km/h

✔ Answer: 14 km/h

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Section B

#### 1) A car travels 155 km in 2 hours 30 minutes.

Convert time:
2 hours 30 minutes = 2.5 hours

Average Speed = 155 km ÷ 2.5 h = 62 km/h

✔ Answer: 62 km/h

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#### 2) A train travels 85 km in 25 minutes.

Convert time to hours:
25 minutes = 25/60 = 5/12 ≈ 0.4167 hours

Average Speed = 85 km ÷ (25/60) h = 85 ÷ (5/12) = 85 × (12/5) = 204 km/h

✔ Answer: 204 km/h

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#### 3) A plane has a flight time of 4h:35m. If the plane had an average speed of 450 km/h, how far did it travel?

Convert time:
4h 35m = 4 + 35/60 = 4 + 0.5833 = 4.5833 hours

Distance = Speed × Time
= 450 km/h × 4.5833 h ≈ 2062.5 km

✔ Answer: 2062.5 km

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#### 4) Leaving at 2:38 pm, a train travels 244 km at 80 km/h. When does it arrive?

Time = Distance ÷ Speed
= 244 km ÷ 80 km/h = 3.05 hours

Convert 0.05 hours to minutes:
0.05 × 60 = 3 minutes → So total time = 3 hours 3 minutes

Add to departure time:
2:38 pm + 3 hours = 5:38 pm
5:38 pm + 3 minutes = 5:41 pm

✔ Answer: 5:41 pm

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Section C

#### 1) A runner travels 180 metres in 20 seconds. Find their average speed in km/h.

Step 1: Convert distance to km
180 m = 0.18 km

Step 2: Convert time to hours
20 seconds = 20/3600 = 1/180 hours ≈ 0.005556 h

Speed = 0.18 km ÷ (1/180) h = 0.18 × 180 = 32.4 km/h

✔ Answer: 32.4 km/h

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#### 2) A car travels from A to C through B.

- A to B: 39 km at 65 km/h
- B to C: completed at 55 km/h in 72 minutes

Find average speed for entire journey A to C.

We need:
- Total distance
- Total time

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Part A to B:
- Distance = 39 km
- Speed = 65 km/h
- Time = Distance ÷ Speed = 39 ÷ 65 = 0.6 hours = 36 minutes

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Part B to C:
- Time = 72 minutes = 72/60 = 1.2 hours
- Speed = 55 km/h
- Distance = Speed × Time = 55 × 1.2 = 66 km

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Total Journey:
- Total distance = 39 km + 66 km = 105 km
- Total time = 0.6 h + 1.2 h = 1.8 hours

Average Speed = Total Distance ÷ Total Time
= 105 km ÷ 1.8 h = 58.33... km/h ≈ 58.3 km/h

✔ Answer: 58.3 km/h (or exactly 175/3 km/h)

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✔ Final Answers Summary

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#### Section A
1. 180 km
2. 5 hours
3. 70 km/h
4. 25 mph
5. 14 km/h

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#### Section B
1. 62 km/h
2. 204 km/h
3. 2062.5 km
4. 5:41 pm

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#### Section C
1. 32.4 km/h
2. 58.3 km/h

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