Speed, Distance, and Time Worksheets - Free Printable

To solve the problems related to speed, we use the formula for speed:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}}
\]

Part (A): Find the Speed

#### (1) Distance = 123 miles, Time = 1 Hour
\[
\text{Speed} = \frac{123 \text{ miles}}{1 \text{ hour}} = 123 \text{ mph}
\]

#### (2) Distance = 90 miles, Time = 3 Hours
\[
\text{Speed} = \frac{90 \text{ miles}}{3 \text{ hours}} = 30 \text{ mph}
\]

#### (3) Distance = 60 miles, Time = 4 Hours
\[
\text{Speed} = \frac{60 \text{ miles}}{4 \text{ hours}} = 15 \text{ mph}
\]

#### (4) Distance = 336 miles, Time = 7 Hours
\[
\text{Speed} = \frac{336 \text{ miles}}{7 \text{ hours}} = 48 \text{ mph}
\]

Part (B): If the distance is 20 miles, how long will it take?

We are given the speed and need to find the time. The formula for time is:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]

#### (a) Speed = 6 mph
\[
\text{Time} = \frac{20 \text{ miles}}{6 \text{ mph}} = \frac{20}{6} \approx 3.33 \text{ hours}
\]

#### (b) Speed = 8 mph
\[
\text{Time} = \frac{20 \text{ miles}}{8 \text{ mph}} = \frac{20}{8} = 2.5 \text{ hours}
\]

#### (c) Speed = 10 mph
\[
\text{Time} = \frac{20 \text{ miles}}{10 \text{ mph}} = \frac{20}{10} = 2 \text{ hours}
\]

#### (d) Speed = 16 mph
\[
\text{Time} = \frac{20 \text{ miles}}{16 \text{ mph}} = \frac{20}{16} = 1.25 \text{ hours}
\]

Part (C): Complete the Table

We are given the speed and need to find the distance.

#### (1) Speed = 60 mph, Time = 1 Hour
\[
\text{Distance} = \text{Speed} \times \text{Time} = 60 \text{ mph} \times 1 \text{ hour} = 60 \text{ miles}
\]

#### (2) Speed = 60 mph, Time = 2 Hours
\[
\text{Distance} = \text{Speed} \times \text{Time} = 60 \text{ mph} \times 2 \text{ hours} = 120 \text{ miles}
\]

#### (3) Speed = 60 mph, Time = 3 Hours
\[
\text{Distance} = \text{Speed} \times \text{Time} = 60 \text{ mph} \times 3 \text{ hours} = 180 \text{ miles}
\]

#### (4) Speed = 60 mph, Time = 4 Hours
\[
\text{Distance} = \text{Speed} \times \text{Time} = 60 \text{ mph} \times 4 \text{ hours} = 240 \text{ miles}
\]

Final Answers

- Part (A):
1. \( 123 \text{ mph} \)
2. \( 30 \text{ mph} \)
3. \( 15 \text{ mph} \)
4. \( 48 \text{ mph} \)

- Part (B):
1. \( \approx 3.33 \text{ hours} \)
2. \( 2.5 \text{ hours} \)
3. \( 2 \text{ hours} \)
4. \( 1.25 \text{ hours} \)

- Part (C):
1. \( 60 \text{ miles} \)
2. \( 120 \text{ miles} \)
3. \( 180 \text{ miles} \)
4. \( 240 \text{ miles} \)

\[
\boxed{
\begin{array}{c|c|c}
\text{Speed} & \text{Time} & \text{Distance} \\
\hline
60 \text{ mph} & 1 \text{ hour} & 60 \text{ miles} \\
60 \text{ mph} & 2 \text{ hours} & 120 \text{ miles} \\
60 \text{ mph} & 3 \text{ hours} & 180 \text{ miles} \\
60 \text{ mph} & 4 \text{ hours} & 240 \text{ miles} \\
\end{array}
}
\]