Tom is riding his bike to the store. After 2
minutes he has traveled 3 blocks, after 6
minutes, he has traveled 9 blocks. Find his
average speed in blocks per minute.
O 1.5 blocks per minute
O 2/3 blocks per minute
O 3.2 blocks per minute
06 blocks per minute

Respuesta :

Hello!

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]

Why?

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!

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