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Step-by-step explanation:
Convert kilometers to meters:
There is 1000 meters in 1 kilometer.
So,
10 Kilometers = (10 * 1000) = 10000 meters.
Convert hour and minutes to seconds:
There is 60 seconds in 1 minute.
There is 60 minutes in 1 hour.
So,
1 hour = (60 * 60) = 3600 seconds.
20 minutes = (20 * 60) = 1200 seconds.
Therefore,
1 hour and 20 minutes = (3600 + 1200) = 4800 seconds.
So, the average speed, in meters per second (m / s), for a distance of 10 kilometers in 1 hour and 20 minutes is calculated by the formula:
Average speed = (total distance / total time taken),
Avg_speed = ( 10000 / 4800 ),
Avg_speed = 2.08333… (m / s)
Answer:
2.78 m/s
Step-by-step explanation:
We know that the boy took 1 hour to travel 10 km. This means that the boy is travelling at 10 km/hr. We must now convert the units into m/s by converting kilometers into meters and hours into seconds.
Solving:
[tex]\section*{}To calculate the average speed, we can use the formula:\[\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}\][/tex]
[tex]\subsection*{Kilometers to Meters:}First, we convert the distance from kilometers to meters:\[\text{Distance} = 10 \, \text{km} = 10 \times 1000 \, \text{m} =\boxed{ 10{,}000 \, \text{m}}\][/tex]
[tex]\subsection*{Hours to Seconds:}Next, we convert the time from hours to seconds:\[\text{Time} = 1 \, \text{hour} = 1 \times 3600 \, \text{seconds} = \boxed{3600 \, \text{seconds}}\][/tex]
[tex]\subsection*{Divide:}\[\text{Average Speed} = \frac{10{,}000 \, \text{m}}{3600 \, \text{s}} \approx \boxed{2.78 \, \text{m/s}}\][/tex]
Therefore, the boy travelled at a rate of 2.78 m/s.