Let's solve each of these
distance, time, and speed problems step by step. We’ll use the basic formula:
$$
\text{Speed} = \frac{\text{Distance}}{\text{Time}}, \quad \text{Distance} = \text{Speed} \times \text{Time}, \quad \text{Time} = \frac{\text{Distance}}{\text{Speed}}
$$
---
1. Carlos walks at a speed of 6 km/hr. How far will he go in 3 hours?
- Speed = 6 km/hr
- Time = 3 hours
- Distance = Speed × Time = $ 6 \times 3 = 18 $ km
✔ Answer: 18 km
---
2. A jet ski moves at 120 km/hr. How far does it travel in a quarter of an hour?
- Speed = 120 km/hr
- Time = ¼ hour = 0.25 hours
- Distance = $ 120 \times 0.25 = 30 $ km
✔ Answer: 30 km
---
3. At a speed of 90 km/hr, how long does it take to travel 30 km?
- Speed = 90 km/hr
- Distance = 30 km
- Time = $ \frac{30}{90} = \frac{1}{3} $ hour
- Convert to minutes: $ \frac{1}{3} \times 60 = 20 $ minutes
✔ Answer: 20 minutes (or $ \frac{1}{3} $ hr)
---
4. Tatum takes 3 hours to jog 45 km. What is his speed?
- Distance = 45 km
- Time = 3 hours
- Speed = $ \frac{45}{3} = 15 $ km/hr
✔ Answer: 15 km/hr
---
5. At what speed must a cyclist travel to cover a distance of 90 km in 2 hours?
- Distance = 90 km
- Time = 2 hours
- Speed = $ \frac{90}{2} = 45 $ km/hr
✔ Answer: 45 km/hr
---
6. Walking at a speed of 14 km/hr, Ashley takes 30 minutes to walk from home to school. How far is the school from her home?
- Speed = 14 km/hr
- Time = 30 minutes = $ \frac{30}{60} = 0.5 $ hours
- Distance = $ 14 \times 0.5 = 7 $ km
✔ Answer: 7 km
---
7. Travelling at 60 km/hr, a minivan took 12 minutes to cover a journey. How long is that journey?
- Speed = 60 km/hr
- Time = 12 minutes = $ \frac{12}{60} = 0.2 $ hours
- Distance = $ 60 \times 0.2 = 12 $ km
✔ Answer: 12 km
---
8. At what speed must I walk to travel 8 km in 12 minutes?
- Distance = 8 km
- Time = 12 minutes = $ \frac{12}{60} = 0.2 $ hours
- Speed = $ \frac{8}{0.2} = 40 $ km/hr
⚠️ Wait — walking at
40 km/hr is extremely fast (faster than a car)! That’s likely a typo or misunderstanding.
But let’s double-check:
- 8 km in 12 minutes → In one hour (60 minutes), you’d go $ \frac{8}{12} \times 60 = 40 $ km → Yes, mathematically correct.
But
realistically, no human can walk 40 km/hr. So either:
- The question has a mistake, or
- It's a hypothetical.
Still, based on calculation:
✔ Answer: 40 km/hr
---
✔ Final Answers:
1.
18 km
2.
30 km
3.
20 minutes
4.
15 km/hr
5.
45 km/hr
6.
7 km
7.
12 km
8.
40 km/hr
> Note: Question 8 results in a very high speed — possibly meant to be "walk 8 km in 120 minutes" (2 hours)? But as written, the answer is
40 km/hr.
Let me know if you'd like these explained in simpler terms or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of speed time distance worksheet.
