Speed, Distance, Time worksheet with conversion exercises and video link.

Let's solve each question step by step, converting time from hours and minutes into decimal hours, as requested.

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🔷 Key Concept:

To convert minutes to hours, use:
$$
\text{Hours} = \frac{\text{Minutes}}{60}
$$

For mixed times (e.g., 1 hour 30 minutes), convert the minutes part to decimal hours and add to the whole hours:
$$
1\ \text{hour}\ 30\ \text{minutes} = 1 + \frac{30}{60} = 1 + 0.5 = 1.5\ \text{hours}
$$

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## ✔ Question 1: Convert without a calculator

We’ll convert each time to decimal hours using fractions of 60.

(a) 15 minutes
$$
\frac{15}{60} = \frac{1}{4} = 0.25\ \text{hours}
$$

(b) 30 minutes
$$
\frac{30}{60} = \frac{1}{2} = 0.5\ \text{hours}
$$

(c) 45 minutes
$$
\frac{45}{60} = \frac{3}{4} = 0.75\ \text{hours}
$$

(d) 20 minutes
$$
\frac{20}{60} = \frac{1}{3} \approx 0.333\ \text{hours}
$$

(e) 40 minutes
$$
\frac{40}{60} = \frac{2}{3} \approx 0.667\ \text{hours}
$$

(f) 2 hours 30 minutes
$$
2 + \frac{30}{60} = 2 + 0.5 = 2.5\ \text{hours}
$$

(g) 1 hour 15 minutes
$$
1 + \frac{15}{60} = 1 + 0.25 = 1.25\ \text{hours}
$$

(h) 3 hours 45 minutes
$$
3 + \frac{45}{60} = 3 + 0.75 = 3.75\ \text{hours}
$$

(i) 2 hours 40 minutes
$$
2 + \frac{40}{60} = 2 + \frac{2}{3} \approx 2 + 0.667 = 2.667\ \text{hours}
$$

(j) 5 hours 30 minutes
$$
5 + \frac{30}{60} = 5 + 0.5 = 5.5\ \text{hours}
$$

(k) 7 hours 20 minutes
$$
7 + \frac{20}{60} = 7 + \frac{1}{3} \approx 7 + 0.333 = 7.333\ \text{hours}
$$

(l) 4 hours 15 minutes
$$
4 + \frac{15}{60} = 4 + 0.25 = 4.25\ \text{hours}
$$

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## ✔ Question 2: Convert with calculator allowed

Same method — just compute more precisely if needed.

(a) 18 minutes
$$
\frac{18}{60} = 0.3\ \text{hours}
$$

(b) 54 minutes
$$
\frac{54}{60} = 0.9\ \text{hours}
$$

(c) 1 hour 3 minutes
$$
1 + \frac{3}{60} = 1 + 0.05 = 1.05\ \text{hours}
$$

(d) 1 hour 36 minutes
$$
1 + \frac{36}{60} = 1 + 0.6 = 1.6\ \text{hours}
$$

(e) 2 hours 48 minutes
$$
2 + \frac{48}{60} = 2 + 0.8 = 2.8\ \text{hours}
$$

(f) 2 hours 33 minutes
$$
2 + \frac{33}{60} = 2 + 0.55 = 2.55\ \text{hours}
$$

(g) 8 hours 51 minutes
$$
8 + \frac{51}{60} = 8 + 0.85 = 8.85\ \text{hours}
$$

(h) 3 hours 21 minutes
$$
3 + \frac{21}{60} = 3 + 0.35 = 3.35\ \text{hours}
$$

(i) 27 minutes
$$
\frac{27}{60} = 0.45\ \text{hours}
$$

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## ✔ Question 3: Convert to 3 decimal places

Now we need exact decimal values rounded to 3 decimal places.

(a) 18 minutes
$$
\frac{18}{60} = 0.300\ \text{hours}
$$

(b) 54 minutes
$$
\frac{54}{60} = 0.900\ \text{hours}
$$

(c) 1 hour 3 minutes
$$
1 + \frac{3}{60} = 1 + 0.05 = 1.050\ \text{hours}
$$

(d) 1 hour 36 minutes
$$
1 + \frac{36}{60} = 1 + 0.6 = 1.600\ \text{hours}
$$

(e) 2 hours 48 minutes
$$
2 + \frac{48}{60} = 2 + 0.8 = 2.800\ \text{hours}
$$

(f) 2 hours 33 minutes
$$
2 + \frac{33}{60} = 2 + 0.55 = 2.550\ \text{hours}
$$

(g) 8 hours 51 minutes
$$
8 + \frac{51}{60} = 8 + 0.85 = 8.850\ \text{hours}
$$

(h) 3 hours 21 minutes
$$
3 + \frac{21}{60} = 3 + 0.35 = 3.350\ \text{hours}
$$

(i) 27 minutes
$$
\frac{27}{60} = 0.450\ \text{hours}
$$

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📌 Final Answers:

#### Question 1:
(a) 0.25
(b) 0.5
(c) 0.75
(d) 0.333
(e) 0.667
(f) 2.5
(g) 1.25
(h) 3.75
(i) 2.667
(j) 5.5
(k) 7.333
(l) 4.25

#### Question 2:
(a) 0.3
(b) 0.9
(c) 1.05
(d) 1.6
(e) 2.8
(f) 2.55
(g) 8.85
(h) 3.35
(i) 0.45

#### Question 3:
(a) 0.300
(b) 0.900
(c) 1.050
(d) 1.600
(e) 2.800
(f) 2.550
(g) 8.850
(h) 3.350
(i) 0.450

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✔ Summary Tip:
Always remember:
- 1 hour = 60 minutes
- To convert minutes → hours: divide by 60
- For mixed times: whole hours + (minutes ÷ 60)

Let me know if you'd like these in a table or printable format!