Question

A train travels at a constant speed. What is the train's speed between checkpoints, expressed as a unit rate? Use the information given in the picture to help you.

Answer 1

the checkpoints is 60 mph if you have any questions just ask:)

Answer 2

Remember that the speed is the rate of change of the position with respect to time, so to solve this we are going to use the kinematic equation:
`S= (d_(f)-d_(i))/(t_(f)-t_(i))`
where

`S` is the speed of the train

`d_(i)` is the initial distance

`d_(f)` is the final distance

`t_(i)` is the initial time

`t_(f)` is the final time

Since checkpoint A is the initial checkpoint, we can infer that
`d_(i)=105` and
`t_(i)=2`. Similarly, since checkpoint B is the final checkpoint, we can infer that
`d_(f)=285` and
`t_(f)=5`. Lets replace the values in our kinematic euation:

`S= (d_(f)-d_(i))/(t_(f)-t_(i))`

`S= (285-105)/(5-2)`

`S= (180)/(3)`

`S=60` mph

We can conclude that the train's speed between checkpoints is 60 mph.