Worksheet of the Week: Distance and Speed | The Math Blaster Blog - Free Printable

To solve the problems in the "Distance and Speed" worksheet, we use the formula for speed:

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

We will calculate the speed for each problem step by step.

---

Problem a)

- Distance = 614 km
- Time = 12 hr

\[
\text{Speed} = \frac{614 \, \text{km}}{12 \, \text{hr}} = 51.1667 \, \text{km/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{51.17}
\]

---

Problem b)

- Distance = 648 miles
- Time = 24 hr

\[
\text{Speed} = \frac{648 \, \text{miles}}{24 \, \text{hr}} = 27 \, \text{miles/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{27.00}
\]

---

Problem c)

- Distance = 825 m
- Time = 32 sec

\[
\text{Speed} = \frac{825 \, \text{m}}{32 \, \text{sec}} = 25.78125 \, \text{m/sec}
\]

Rounded to 2 decimal places:
\[
\boxed{25.78}
\]

---

Problem d)

- Distance = 958 m
- Time = 48 sec

\[
\text{Speed} = \frac{958 \, \text{m}}{48 \, \text{sec}} = 19.958333 \, \text{m/sec}
\]

Rounded to 2 decimal places:
\[
\boxed{19.96}
\]

---

Problem e)

- Distance = 1020 miles
- Time = 40 hr

\[
\text{Speed} = \frac{1020 \, \text{miles}}{40 \, \text{hr}} = 25.5 \, \text{miles/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{25.50}
\]

---

Problem f)

- Distance = 258 km
- Time = 12 hr

\[
\text{Speed} = \frac{258 \, \text{km}}{12 \, \text{hr}} = 21.5 \, \text{km/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{21.50}
\]

---

Problem g)

- Distance = 557 km
- Time = 18 hr

\[
\text{Speed} = \frac{557 \, \text{km}}{18 \, \text{hr}} = 30.944444 \, \text{km/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{30.94}
\]

---

Problem h)

- Distance = 852 m
- Time = 14 sec

\[
\text{Speed} = \frac{852 \, \text{m}}{14 \, \text{sec}} = 60.857143 \, \text{m/sec}
\]

Rounded to 2 decimal places:
\[
\boxed{60.86}
\]

---

Problem i)

- Distance = 635.5 km
- Time = 13 hr

\[
\text{Speed} = \frac{635.5 \, \text{km}}{13 \, \text{hr}} = 48.884615 \, \text{km/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{48.88}
\]

---

Problem j)

- Distance = 628 miles
- Time = 11 hr

\[
\text{Speed} = \frac{628 \, \text{miles}}{11 \, \text{hr}} = 57.090909 \, \text{miles/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{57.09}
\]

---

Problem k)

- Distance = 528 m
- Time = 27 sec

\[
\text{Speed} = \frac{528 \, \text{m}}{27 \, \text{sec}} = 19.555556 \, \text{m/sec}
\]

Rounded to 2 decimal places:
\[
\boxed{19.56}
\]

---

Problem l)

- Distance = 985 km
- Time = 30 hr

\[
\text{Speed} = \frac{985 \, \text{km}}{30 \, \text{hr}} = 32.833333 \, \text{km/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{32.83}
\]

---

Problem m)

- Distance = 867 miles
- Time = 56 hr

\[
\text{Speed} = \frac{867 \, \text{miles}}{56 \, \text{hr}} = 15.482143 \, \text{miles/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{15.48}
\]

---

Problem n)

- Distance = 1125 km
- Time = 25 hr

\[
\text{Speed} = \frac{1125 \, \text{km}}{25 \, \text{hr}} = 45 \, \text{km/hr}
\]

Rounded to 2 decimal places:
\[
\boxed{45.00}
\]

---

Final Answers:

\[
\begin{aligned}
&\text{a)} \, \boxed{51.17} \\
&\text{b)} \, \boxed{27.00} \\
&\text{c)} \, \boxed{25.78} \\
&\text{d)} \, \boxed{19.96} \\
&\text{e)} \, \boxed{25.50} \\
&\text{f)} \, \boxed{21.50} \\
&\text{g)} \, \boxed{30.94} \\
&\text{h)} \, \boxed{60.86} \\
&\text{i)} \, \boxed{48.88} \\
&\text{j)} \, \boxed{57.09} \\
&\text{k)} \, \boxed{19.56} \\
&\text{l)} \, \boxed{32.83} \\
&\text{m)} \, \boxed{15.48} \\
&\text{n)} \, \boxed{45.00} \\
\end{aligned}
\]