speed, distance & time. Interactive worksheet | TopWorksheets - Free Printable

To solve the problems in the table, we will use the fundamental relationship between speed, distance, and time:

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

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

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

We will calculate each row step by step.

---

Row 1:

- Distance: 30 m
- Time: 0.5 seconds
- Speed:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{30 \, \text{m}}{0.5 \, \text{s}} = 60 \, \text{m/s}
\]

Answer: 60 m/s

---

Row 2:

- Distance: 10 km
- Time: \(\frac{1}{3}\) hour
- Speed:

First, convert the time to hours:
\[
\text{Time} = \frac{1}{3} \, \text{hour}
\]

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{10 \, \text{km}}{\frac{1}{3} \, \text{hour}} = 10 \times 3 = 30 \, \text{km/h}
\]

Answer: 30 km/h

---

Row 3:

- Distance: 2.5 cm
- Time: 5 seconds
- Speed:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{2.5 \, \text{cm}}{5 \, \text{s}} = 0.5 \, \text{cm/s}
\]

Answer: 0.5 cm/s

---

Row 4:

- Distance: 240 km
- Time: 15 hours
- Speed:

\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{240 \, \text{km}}{15 \, \text{hours}} = 16 \, \text{km/h}
\]

Answer: 16 km/h

---

Row 5:

- Distance: 150 m
- Speed: 30 m/s
- Time:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{150 \, \text{m}}{30 \, \text{m/s}} = 5 \, \text{s}
\]

Answer: 5 s

---

Row 6:

- Distance: 132 km
- Speed: 33 km/h
- Time:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{132 \, \text{km}}{33 \, \text{km/h}} = 4 \, \text{hours}
\]

Answer: 4 hours

---

Row 7:

- Distance: 48 m
- Speed: 8 m/min
- Time:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{48 \, \text{m}}{8 \, \text{m/min}} = 6 \, \text{minutes}
\]

Answer: 6 minutes

---

Row 8:

- Distance: 1500 m
- Speed: 8 m/s
- Time:

\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}} = \frac{1500 \, \text{m}}{8 \, \text{m/s}} = 187.5 \, \text{s}
\]

Answer: 187.5 s

---

Row 9:

- Time: 0.25 seconds
- Speed: 30 m/s
- Distance:

\[
\text{Distance} = \text{Speed} \times \text{Time} = 30 \, \text{m/s} \times 0.25 \, \text{s} = 7.5 \, \text{m}
\]

Answer: 7.5 m

---

Row 10:

- Time: \(\frac{1}{6}\) hour
- Speed: 78 km/h
- Distance:

First, convert the time to hours:
\[
\text{Time} = \frac{1}{6} \, \text{hour}
\]

\[
\text{Distance} = \text{Speed} \times \text{Time} = 78 \, \text{km/h} \times \frac{1}{6} \, \text{hour} = 13 \, \text{km}
\]

Answer: 13 km

---

Row 11:

- Time: 3 hours
- Speed: 70 km/h
- Distance:

\[
\text{Distance} = \text{Speed} \times \text{Time} = 70 \, \text{km/h} \times 3 \, \text{hours} = 210 \, \text{km}
\]

Answer: 210 km

---

Row 12:

- Time: 40 seconds
- Speed: 3 cm/s
- Distance:

\[
\text{Distance} = \text{Speed} \times \text{Time} = 3 \, \text{cm/s} \times 40 \, \text{s} = 120 \, \text{cm}
\]

Answer: 120 cm

---

Final Answer:

\[
\boxed{
\begin{array}{|c|c|c|}
\hline
\text{Distance} & \text{Time} & \text{Speed} \\
\hline
30 \, \text{m} & 0.5 \, \text{s} & 60 \, \text{m/s} \\
10 \, \text{km} & \frac{1}{3} \, \text{hour} & 30 \, \text{km/h} \\
2.5 \, \text{cm} & 5 \, \text{s} & 0.5 \, \text{cm/s} \\
240 \, \text{km} & 15 \, \text{hours} & 16 \, \text{km/h} \\
150 \, \text{m} & 5 \, \text{s} & 30 \, \text{m/s} \\
132 \, \text{km} & 4 \, \text{hours} & 33 \, \text{km/h} \\
48 \, \text{m} & 6 \, \text{minutes} & 8 \, \text{m/min} \\
1500 \, \text{m} & 187.5 \, \text{s} & 8 \, \text{m/s} \\
7.5 \, \text{m} & 0.25 \, \text{s} & 30 \, \text{m/s} \\
13 \, \text{km} & \frac{1}{6} \, \text{hour} & 78 \, \text{km/h} \\
210 \, \text{km} & 3 \, \text{hours} & 70 \, \text{km/h} \\
120 \, \text{cm} & 40 \, \text{s} & 3 \, \text{cm/s} \\
\hline
\end{array}
}
\]