Let’s solve each problem one by one using the distance formula:
Distance = Rate × Time
or written as:
d = r × t
We can rearrange this formula depending on what we’re solving for:
- To find
distance: d = r × t
- To find
rate: r = d ÷ t
- To find
time: t = d ÷ r
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Problem 1:
What is the distance traveled in 6 h at 60 km/h?
Use: d = r × t
d = 60 km/h × 6 h
d = 360 km
✔ Check: 60 times 6 is 360 — correct.
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Problem 2:
What is the average rate of speed if 275 km are traveled in 5.5 h?
Use: r = d ÷ t
r = 275 km ÷ 5.5 h
Let’s calculate that:
275 ÷ 5.5 = ?
You can think of it as:
275 ÷ (11/2) = 275 × (2/11) = (275 × 2) ÷ 11 = 550 ÷ 11 = 50
So, r = 50 km/h
✔ Check: 50 km/h × 5.5 h = 275 km — correct.
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Problem 3:
How long does it take to travel 288 km at an average rate of 72 km/h?
Use: t = d ÷ r
t = 288 km ÷ 72 km/h
t = 4 hours
✔ Check: 72 km/h × 4 h = 288 km — correct.
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Final Answer:
1) 360 km
2) 50 km/h
3) 4 hours
Parent Tip: Review the logic above to help your child master the concept of distance rate time problems worksheet.
