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

Answer:

Speed = 25miles per hour

Step-by-step 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:

$Speed = \frac{y_3}{x_3}=\frac{y_2}{x_2}=\frac{y_1}{x_1}$

$Speed = \frac{12.5}{0.5}=\frac{25}{1}=\frac{37.5}{1.5}$

$Speed = 25=25=25$

Notice that the result of each division is the same.

Hence, the constant speed is:

Speed = 25miles per hour