Question

A conductor is mapping a trip and records the distance the train travels over certain time intervals. The train travels at a constant speed. What is its speed?

Answer 1

Speed = 25miles per hour

Explanation:

Represent the time with x and the distance with y

So, from the attachment; we have the following details:

`(x_1,y_1) = (0.5,12.5)`

`(x_2,y_2) = (1,25)`

`(x_3,y_3) = (1.5,37.5)`

Required

Determine the constant speed

Because the train travelled at a constant speed, the speed can be calculated using:

`Speed = (y_3)/(x_3)=(y_2)/(x_2)=(y_1)/(x_1)`

`Speed = (12.5)/(0.5)=(25)/(1)=(37.5)/(1.5)`

`Speed = 25=25=25`

Notice that the result of each division is the same.

Hence, the constant speed is:

Speed = 25miles per hour