Question

Please help me solve this!!

Bobby rode his skateboard 4 miles 30 rode her bicycle 10 miles in minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer.

Answer 1

Abelito had the greater average speed

Explanation:

Given

Bobby:

`Distance =4\ miles`

`Time = 30\ minutes`

Abelito

`Distance = 10\ miles`

`Time = 48\ minutes`

Required:

Who had a greater average speed

Average speed (S) is calculated as:

`S = (Distance)/(Time)`

We will make use of mph (miles per hour) as the unit of speed.

For Bobby:

`S_B = (4\ miles)/(30\ minutes)`

Convert minute to hour

`S_B = (4\ miles)/(0.5\ hr)`

`S_B = 8mph`

For Abelito

`S_A = (10\ miles)/(48\ minutes)`

Convert minute to hour

`S_A = (10\ miles)/(0.8\ hr)`

`S_A = 12.5mph`

By comparison: 12.5mph > 8mph

Hence: Abelito had the greater average speed