Of course! I'll solve each of the 8 problems step-by-step using the fundamental relationship between
Distance,
Time, and
Speed:
>
Distance = Speed × Time
>
Speed = Distance ÷ Time
>
Time = Distance ÷ Speed
Let's go through them one by one.
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1. Carlos walks at a speed of 6 km/hr. How far will he go in 3 hours?
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Formula: Distance = Speed × Time
*
Calculation: Distance = 6 km/hr × 3 hr =
18 km
Answer: 18 km
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2. A jet ski moves at 120 km/hr. How far does it travel in a quarter of an hour?
*
Note: A quarter of an hour is 0.25 hours.
*
Formula: Distance = Speed × Time
*
Calculation: Distance = 120 km/hr × 0.25 hr =
30 km
Answer: 30 km
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3. At a speed of 90 km/hr, how long does it take to travel 30 km?
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Formula: Time = Distance ÷ Speed
*
Calculation: Time = 30 km ÷ 90 km/hr = 1/3 hour
*
Convert to minutes (optional but common): 1/3 hour × 60 min/hr =
20 minutes
Answer: 1/3 hour or 20 minutes
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4. Tatum takes 3 hrs to jog 45 km. What is his speed?
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Formula: Speed = Distance ÷ Time
*
Calculation: Speed = 45 km ÷ 3 hr =
15 km/hr
Answer: 15 km/hr
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5. At what speed must a cyclist travel to cover a distance of 90 km in 2 hrs?
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Formula: Speed = Distance ÷ Time
*
Calculation: Speed = 90 km ÷ 2 hr =
45 km/hr
Answer: 45 km/hr
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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?
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Note: 30 minutes = 0.5 hours.
*
Formula: Distance = Speed × Time
*
Calculation: Distance = 14 km/hr × 0.5 hr =
7 km
Answer: 7 km
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7. Travelling at 60 km/hr, a minivan took 12 minutes to cover a journey. How long is that journey?
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Note: 12 minutes = 12/60 hours = 0.2 hours.
*
Formula: Distance = Speed × Time
*
Calculation: Distance = 60 km/hr × 0.2 hr =
12 km
Answer: 12 km
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8. At what speed must I walk to travel 8 km in 12 minutes?
*
Note: 12 minutes = 12/60 hours = 0.2 hours.
*
Formula: Speed = Distance ÷ Time
*
Calculation: Speed = 8 km ÷ 0.2 hr =
40 km/hr
Answer: 40 km/hr
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✔ Final Answers Summary:
1.
18 km
2.
30 km
3.
1/3 hour (or 20 minutes)
4.
15 km/hr
5.
45 km/hr
6.
7 km
7.
12 km
8.
40 km/hr
These solutions rely on correctly applying the basic formula `Distance = Speed × Time` and ensuring units are consistent (converting minutes to hours where necessary).
Parent Tip: Review the logic above to help your child master the concept of speed distance time worksheet.
