Question

Two trains are traveling at constant speeds on different tracks.

Train A:

Train B:

Which train is traveling faster? Explain your reasoning using equivalent ratios.

Answer 1

Train B travels faster

Explanation:

See attachment for complete question

Since both trains are travelling at constant speed, we can pick any non zero equivalents of distance and time to calculate the rate at which they both travel.

For Train A

`Distance = 12.5m`

`Time = 1s`

`Rate = Distance/Time`

`Rate = 12.5m/1s`

`Rate = 12.5m/s`

For Train B

`Distance = 100m`

`Time = 4s`

`Rate = Distance/Time`

`Rate = 100m/4s`

`Rate = 25m/s`

By comparison:

`25m/s > 12.5m/s`

Hence,

Train B travels faster