Speed problems worksheet with real-world scenarios and equations for calculating speed, distance, and time.

It looks like you've uploaded a worksheet titled "Speed problems" with several word problems related to speed, distance, and time. Since I can't view images directly, I'll help you solve the problems based on the text you've provided.

Let me go through each problem one by one, solve it, and explain the steps. Here’s what I see in your image:

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Problem 1:

> How long will it take a bike rider to travel 30 km at an average speed of 15 km/h?

Solution:

We use the formula:
$$
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
$$

Given:
- Distance = 30 km
- Speed = 15 km/h

$$
\text{Time} = \frac{30}{15} = 2 \text{ hours}
$$

✔ Answer: It will take 2 hours.

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Problem 2:

> If a car traveled 152 km at an average speed of 38 km/h, at what speed was it traveling?

Wait — this seems to be asking for the speed, but it already gives the speed (38 km/h). Let's re-read:

> "If a car traveled 152 km at an average speed of 38 km/h, at what speed was it traveling?"

This is redundant. But maybe there's a typo. Perhaps it meant to ask: *How long did it take?* or *What was the speed?* But since it says "at an average speed of 38 km/h", the answer is already given.

But perhaps the question is:
> "If a car traveled 152 km in 4 hours, what was its average speed?"

But as written, it says:
> "If a car traveled 152 km at an average speed of 38 km/h, at what speed was it traveling?"

That would be 38 km/h, so likely a typo.

Alternatively, if the intent was to ask how long it took:

$$
\text{Time} = \frac{152}{38} = 4 \text{ hours}
$$

But since the original says “at what speed”, and gives speed, that doesn’t make sense.

Let’s assume it's a typo and the real question is:

> "If a car traveled 152 km in 4 hours, what was its average speed?"

Then:
$$
\text{Speed} = \frac{152}{4} = 38 \text{ km/h}
$$

So either way, 38 km/h is the answer.

✔ Answer: The car was traveling at 38 km/h.

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Problem 3:

> How many km does a car travel in 2 hours at 60 km/h?

Use:
$$
\text{Distance} = \text{Speed} \times \text{Time}
$$

$$
= 60 \times 2 = 120 \text{ km}
$$

✔ Answer: The car travels 120 km.

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Problem 4:

> A car travels along a road at a steady speed of 60 mph. How far will it travel in 3 hours?

$$
\text{Distance} = 60 \times 3 = 180 \text{ miles}
$$

✔ Answer: 180 miles

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Problem 5:

> A train covers a distance of 480 km in 6 hours. If it travels at a constant speed, how fast is it traveling?

$$
\text{Speed} = \frac{480}{6} = 80 \text{ km/h}
$$

✔ Answer: The train is traveling at 80 km/h

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Problem 6:

> John walks at a steady speed of 7 mph. How long will it take him to travel 21 miles?

$$
\text{Time} = \frac{21}{7} = 3 \text{ hours}
$$

✔ Answer: It will take 3 hours

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Problem 7:

> A car travels at a constant speed of 60 mph. How far will it have traveled in 4 hours?

$$
\text{Distance} = 60 \times 4 = 240 \text{ miles}
$$

✔ Answer: 240 miles

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Problem 8:

> Michael completes a 10 km journey at an average speed of 8 mph. If it takes him 1 hour, how fast did he go?

Wait — this has inconsistency.

He travels 10 km at 8 mph, and it takes 1 hour?

Let’s check:

Convert 10 km to miles:
1 km ≈ 0.6214 miles →
10 km ≈ 6.214 miles

If he travels 6.214 miles in 1 hour, his speed is about 6.214 mph, not 8 mph.

But the problem says:
> "Michael completes a 10 km journey at an average speed of 8 mph. If it takes him 1 hour, how fast did he go?"

This is contradictory.

Possibility: Maybe the units are mixed.

Assume:
- Distance = 10 km
- Time = 1 hour
- What is the speed?

But speed should be in km/h or mph.

So:
$$
\text{Speed} = \frac{10 \text{ km}}{1 \text{ h}} = 10 \text{ km/h}
$$

But 10 km/h ≈ 6.2 mph

But the problem says "at an average speed of 8 mph" — which is about 12.9 km/h.

So either:
- He didn't travel 10 km in 1 hour at 8 mph, or
- There’s a mistake.

Let’s suppose the question is:
> "Michael completes a 10 km journey in 1 hour. What was his average speed?"

Then:
$$
\text{Speed} = \frac{10}{1} = 10 \text{ km/h}
$$

Or convert to mph:
10 km/h × 0.6214 ≈ 6.21 mph

But the problem says "at an average speed of 8 mph" — contradiction.

Alternatively, maybe the problem is:
> "Michael completes a 10 km journey at an average speed of 8 mph. How long did it take?"

Then:
Convert 10 km to miles: 10 × 0.6214 = 6.214 miles
Time = Distance / Speed = 6.214 / 8 ≈ 0.777 hours ≈ 46.6 minutes

But the problem says "If it takes him 1 hour, how fast did he go?" — so maybe it's just asking for speed.

But then it says "at an average speed of 8 mph" — so the speed is already given.

I think the intended question is:
> "Michael completes a 10 km journey in 1 hour. What was his average speed?"

Then:
$$
\text{Speed} = 10 \text{ km/h}
$$

But the mention of "8 mph" is confusing.

Perhaps it's a typo, and it should say:
> "Michael completes a 10 km journey in 1 hour. What was his average speed in km/h?"

Then:
✔ Answer: 10 km/h

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Problem 9:

> Sandy cycles 30 km to her grandma’s house at a speed of 12 km/h. If she leaves at 11:00 am, what time will she arrive?

$$
\text{Time} = \frac{30}{12} = 2.5 \text{ hours} = 2 \text{ hours } 30 \text{ minutes}
$$

She leaves at 11:00 am → add 2h 30m → arrives at 1:30 pm

✔ Answer: She will arrive at 1:30 pm

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | 2 hours |
| 2 | 38 km/h (assuming typo) |
| 3 | 120 km |
| 4 | 180 miles |
| 5 | 80 km/h |
| 6 | 3 hours |
| 7 | 240 miles |
| 8 | Likely typo — probably wants 10 km/h or 6.2 mph; if 10 km in 1 hr → 10 km/h |
| 9 | 1:30 pm |

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Let me know if you'd like these formatted as a printable answer key or need explanations for any specific part!