Question

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

Answer 1

Hello!

The answer is:

The correct option is the first option, the average speed in blocks per minute is 1.5 blocks per minute.

`AverageSpeed=1.5(Block)/(minute)`

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:

`Distance_(1)=3blocks\\Distance_(2)=9blocks-3blocks=6blocks\\time_(1)=2minutes\\time_(2)=6minutes`

So, we need to use the following formula in order to calculate the average speed:

`AverageSpeed=(distance_(1)+distance_(2))/(t_(1)+t_(2))`

Then, substituting we have:

`AverageSpeed=(3blocks+9blocks)/(2minutes+6minutes)`

`AverageSpeed=(12blocks)/(8minutes)=1.5(blocks)/(minutes)`

Hence, we have that the correct option is the first option, the average speed in blocks per minute is 1.5 blocks per minute.

`AverageSpeed=1.5(Block)/(minute)`

Have a nice day!