The answer is:
The correct option is the first option, the average speed in blocks per minute is 1.5 blocks per minute.
[tex]AverageSpeed=1.5\frac{Block}{minute}[/tex]
To calculate the average speed we need to calculate the total distance traveled and the total time taken to cover that distance.
From the statement we know that:
[tex]Distance_{1}=3blocks\\Distance_{2}=9blocks-3blocks=6blocks\\time_{1}=2minutes\\time_{2}=6minutes[/tex]
So, we need to use the following formula in order to calculate the average speed:
[tex]AverageSpeed=\frac{distance_{1}+distance_{2}}{t_{1}+t_{2}}[/tex]
Then, substituting we have:
[tex]AverageSpeed=\frac{3blocks+9blocks}{2minutes+6minutes}[/tex]
[tex]AverageSpeed=\frac{12blocks}{8minutes}=1.5\frac{blocks}{minutes}[/tex]
Hence, we have that the correct option is the first option, the average speed in blocks per minute is 1.5 blocks per minute.
[tex]AverageSpeed=1.5\frac{Block}{minute}[/tex]
Have a nice day!
