Let's solve each problem step by step using the basic formula for distance, time, and speed:
Formula:
1.
Distance = Speed × Time
2.
Time = Distance ÷ Speed
3.
Speed = Distance ÷ Time
---
Problem 1:
Carlos walks at a speed of 6 km/hr. How far will he go in 3 hours?
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Given: Speed = 6 km/hr, Time = 3 hours
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Formula: Distance = Speed × Time
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Calculation: Distance = 6 km/hr × 3 hr = 18 km
Answer: 18 km
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Problem 2:
A jet ski moves at 120 km/hr. How far does it travel in quarter of an hour?
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Given: Speed = 120 km/hr, Time = 1/4 hour (0.25 hours)
-
Formula: Distance = Speed × Time
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Calculation: Distance = 120 km/hr × 0.25 hr = 30 km
Answer: 30 km
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Problem 3:
At a speed of 90 km/hr, how long does it take to travel 30 km?
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Given: Speed = 90 km/hr, Distance = 30 km
-
Formula: Time = Distance ÷ Speed
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Calculation: Time = 30 km ÷ 90 km/hr = 1/3 hour = 20 minutes
Answer: 20 minutes
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Problem 4:
Tatum takes 3 hours to jog 45 km. What is his speed?
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Given: Distance = 45 km, Time = 3 hours
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Formula: Speed = Distance ÷ Time
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Calculation: Speed = 45 km ÷ 3 hr = 15 km/hr
Answer: 15 km/hr
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Problem 5:
At what speed must a cyclist travel to cover a distance of 90 km in 2 hours?
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Given: Distance = 90 km, Time = 2 hours
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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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Problem 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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Given: Speed = 14 km/hr, Time = 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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Problem 7:
Travelling at 60 km/hr, a minivan took 12 minutes to cover a journey. How long is that journey?
-
Given: Speed = 60 km/hr, Time = 12 minutes (0.2 hours)
-
Formula: Distance = Speed × Time
-
Calculation: Distance = 60 km/hr × 0.2 hr = 12 km
Answer: 12 km
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Problem 8:
At what speed must I walk to travel 8 km in 12 minutes?
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Given: Distance = 8 km, Time = 12 minutes (0.2 hours)
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Formula: Speed = Distance ÷ Time
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Calculation: Speed = 8 km ÷ 0.2 hr = 40 km/hr
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
Boxed Final Answer:
\[
\boxed{18, 30, 20, 15, 45, 7, 12, 40}
\]
Parent Tip: Review the logic above to help your child master the concept of distance rate time worksheet.
