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:
\[
\boxed{
\begin{array}{ll}
a) & 51.17 \\
b) & 27.00 \\
c) & 25.78 \\
d) & 19.96 \\
e) & 25.50 \\
f) & 21.50 \\
g) & 30.94 \\
h) & 60.86 \\
i) & 48.88 \\
j) & 57.09 \\
k) & 19.56 \\
l) & 32.83 \\
m) & 15.48 \\
n) & 45.00 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of speed time distance worksheet.
