Question

HELPPPPPP!!!
Consider the given equation that models a train’s distance from its departing station, where:
• y represents the distance in miles,
• x represents the speed of the train in miles per hour, and
• t represents the time traveled from the departing station in hours.
=t
Enter an equation for which the solution is the speed of the train, in miles per hour, where the train’s
distance from the departing station is 162 miles and it has traveled for 3 hours.

Answer 1

Answer:

$x = 54\ mi/hr$

Step-by-step explanation:

Given:

The given equation is.

$y=xt$

Where:

y represents the distance in miles,

x represents the speed of the train in miles per hour, and

t represents the time travelled from the departing station in hours.

y = 162 miles

t = 3 hours

Solution:

The given equation is.

$y=xt$

Rewrite the given equation for x or speed.

$x=\frac{y}{t}$

Substitute y and t value in above equation.

$x=\frac{162}{3}$

$x = 54\ mi/hr$

Therefore, the speed of the train is $54\ mi/hr$.