MATH SOLVE

3 months ago

Q:
# Tom is riding his bike to the store. After 2minutes he has traveled 3 blocks, after 6minutes, he has traveled 9 blocks. Find hisaverage speed in blocks per minute.O 1.5 blocks per minuteO 2/3 blocks per minuteO 3.2 blocks per minute06 blocks per minute

Accepted Solution

A:

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!