Speed, Distance, Time Textbook Exercise - Corbettmaths - Free Printable

To solve these problems, we need to convert time given in hours and minutes into just hours.

The key rule is: There are 60 minutes in 1 hour.
So, to turn minutes into hours, we divide the number of minutes by 60.

* Formula: $\text{Total Hours} = \text{Hours} + (\frac{\text{Minutes}}{60})$

Let's break down the calculations for each question.

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Question 1

*Convert the times from hours/minutes into hours, without a calculator.*

(a) 15 minutes
* Calculation: $15 \div 60$
* Simplify fraction: $\frac{15}{60} = \frac{1}{4}$
* Decimal: $0.25$

(b) 30 minutes
* Calculation: $30 \div 60$
* Simplify fraction: $\frac{30}{60} = \frac{1}{2}$
* Decimal: $0.5$

(c) 45 minutes
* Calculation: $45 \div 60$
* Simplify fraction: $\frac{45}{60} = \frac{3}{4}$
* Decimal: $0.75$

(d) 20 minutes
* Calculation: $20 \div 60$
* Simplify fraction: $\frac{20}{60} = \frac{1}{3}$
* Decimal: $0.333...$ (repeating)

(e) 40 minutes
* Calculation: $40 \div 60$
* Simplify fraction: $\frac{40}{60} = \frac{2}{3}$
* Decimal: $0.666...$ (repeating)

(f) 2 hours 30 minutes
* The 2 hours stays as 2.
* Convert 30 mins: $30 \div 60 = 0.5$
* Total: $2 + 0.5 = 2.5$

(g) 1 hour 15 minutes
* The 1 hour stays as 1.
* Convert 15 mins: $15 \div 60 = 0.25$
* Total: $1 + 0.25 = 1.25$

(h) 3 hours 45 minutes
* The 3 hours stays as 3.
* Convert 45 mins: $45 \div 60 = 0.75$
* Total: $3 + 0.75 = 3.75$

(i) 2 hours 40 minutes
* The 2 hours stays as 2.
* Convert 40 mins: $40 \div 60 = \frac{2}{3} \approx 0.667$
* Total: $2.666...$

(j) 5 hours 30 minutes
* The 5 hours stays as 5.
* Convert 30 mins: $30 \div 60 = 0.5$
* Total: $5 + 0.5 = 5.5$

(k) 7 hours 20 minutes
* The 7 hours stays as 7.
* Convert 20 mins: $20 \div 60 = \frac{1}{3} \approx 0.333$
* Total: $7.333...$

(l) 4 hours 15 minutes
* The 4 hours stays as 4.
* Convert 15 mins: $15 \div 60 = 0.25$
* Total: $4 + 0.25 = 4.25$

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Question 2

*Convert the times from hours/minutes into hours. You may use a calculator if needed.*

(a) 18 minutes
* Calculation: $18 \div 60$
* Result: $0.3$

(b) 54 minutes
* Calculation: $54 \div 60$
* Result: $0.9$

(c) 1 hour 3 minutes
* Hours: 1
* Minutes: $3 \div 60 = 0.05$
* Total: $1.05$

(d) 1 hour 36 minutes
* Hours: 1
* Minutes: $36 \div 60 = 0.6$
* Total: $1.6$

(e) 2 hours 48 minutes
* Hours: 2
* Minutes: $48 \div 60 = 0.8$
* Total: $2.8$

(f) 2 hours 33 minutes
* Hours: 2
* Minutes: $33 \div 60 = 0.55$
* Total: $2.55$

(g) 8 hours 51 minutes
* Hours: 8
* Minutes: $51 \div 60 = 0.85$
* Total: $8.85$

(h) 3 hours 21 minutes
* Hours: 3
* Minutes: $21 \div 60 = 0.35$
* Total: $3.35$

(i) 27 minutes
* Calculation: $27 \div 60$
* Result: $0.45$

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Question 3

*Convert the times from hours/minutes into hours. Give each answer to 3 decimal places.*
*(Note: The specific questions for Q3 are cut off in the image, but based on the pattern, these would likely be times that result in repeating decimals like 10 minutes, 7 minutes, etc. Since the specific questions aren't visible, I cannot provide answers for Q3.)*

Final Answer:
Question 1
(a) 0.25 hours
(b) 0.5 hours
(c) 0.75 hours
(d) 0.333... hours (or $0.\overline{3}$)
(e) 0.666... hours (or $0.\overline{6}$)
(f) 2.5 hours
(g) 1.25 hours
(h) 3.75 hours
(i) 2.666... hours (or $2.6\overline{6}$)
(j) 5.5 hours
(k) 7.333... hours (or $7.3\overline{3}$)
(l) 4.25 hours

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