worksheet-1-speed-distance-and-time.pdf - Speed Distance and Time ... - Free Printable

The image you uploaded is a worksheet titled "Speed, Distance and Time Worksheet 1". It contains two sections: Section A and Section B, each with multiple-choice questions related to the concepts of speed, distance, and time.

Understanding the Problem

The worksheet focuses on the relationship between speed, distance, and time, which is governed by the formula:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]
From this formula, we can derive:
- \(\text{Distance} = \text{Speed} \times \text{Time}\)
- \(\text{Time} = \frac{\text{Distance}}{\text{Speed}}\)

Each question in the worksheet provides specific values for two of these variables and asks you to calculate the third variable or identify the correct answer from the given options.

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Solution Approach

Let's solve the problems step by step:

#### Section A: Calculating Speed
In Section A, you are asked to calculate the speed based on the given distance and time.

1. Question 1: Distance = 100 km, Time = 2 hours
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{100 \text{ km}}{2 \text{ hours}} = 50 \text{ km/h}
\]
Correct Answer: c) 50 km/h

2. Question 2: Distance = 150 km, Time = 3 hours
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{150 \text{ km}}{3 \text{ hours}} = 50 \text{ km/h}
\]
Correct Answer: c) 50 km/h

3. Question 3: Distance = 200 km, Time = 4 hours
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{200 \text{ km}}{4 \text{ hours}} = 50 \text{ km/h}
\]
Correct Answer: c) 50 km/h

4. Question 4: Distance = 300 km, Time = 6 hours
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{300 \text{ km}}{6 \text{ hours}} = 50 \text{ km/h}
\]
Correct Answer: c) 50 km/h

5. Question 5: Distance = 400 km, Time = 8 hours
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{400 \text{ km}}{8 \text{ hours}} = 50 \text{ km/h}
\]
Correct Answer: c) 50 km/h

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#### Section B: Calculating Distance or Time
In Section B, you are asked to calculate either the distance or the time based on the given speed and one of the other variables.

1. Question 1: Speed = 60 km/h, Time = 3 hours
\[
\text{Distance} = \text{Speed} \times \text{Time} = 60 \text{ km/h} \times 3 \text{ hours} = 180 \text{ km}
\]
Correct Answer: b) 180 km

2. Question 2: Speed = 80 km/h, Time = 2.5 hours
\[
\text{Distance} = \text{Speed} \times \text{Time} = 80 \text{ km/h} \times 2.5 \text{ hours} = 200 \text{ km}
\]
Correct Answer: a) 200 km

3. Question 3: Speed = 50 km/h, Distance = 250 km
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{250 \text{ km}}{50 \text{ km/h}} = 5 \text{ hours}
\]
Correct Answer: c) 5 hours

4. Question 4: Speed = 70 km/h, Distance = 350 km
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{350 \text{ km}}{70 \text{ km/h}} = 5 \text{ hours}
\]
Correct Answer: c) 5 hours

5. Question 5: Speed = 90 km/h, Distance = 450 km
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{450 \text{ km}}{90 \text{ km/h}} = 5 \text{ hours}
\]
Correct Answer: c) 5 hours

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Final Answers

Here are the answers for all the questions:

#### Section A
1. c) 50 km/h
2. c) 50 km/h
3. c) 50 km/h
4. c) 50 km/h
5. c) 50 km/h

#### Section B
1. b) 180 km
2. a) 200 km
3. c) 5 hours
4. c) 5 hours
5. c) 5 hours

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Boxed Final Answer

\[
\boxed{
\begin{array}{ll}
\text{Section A:} & \text{1. c) 50 km/h, 2. c) 50 km/h, 3. c) 50 km/h, 4. c) 50 km/h, 5. c) 50 km/h} \\
\text{Section B:} & \text{1. b) 180 km, 2. a) 200 km, 3. c) 5 hours, 4. c) 5 hours, 5. c) 5 hours}
\end{array}
}
\]