Respuesta :
The distance covered by the Passenger train is 570 miles.
We have the following situation in which a passenger train left a station traveling East at 57 mph and at the same time, a freight train left the same station traveling West at 54 mph.
We have to determine - when the freight train is at 540 miles from the station, how far, in miles, is the passenger train from the station.
What is the formula to calculate the time for which body was moving if it covered distance = 'd' miles at a speed = 'v' mph.
The time taken can be calculated using the formula -
t = [tex]\frac{d}{v}[/tex]
According to question, we have -
For freight train -
Speed = 54 mph
Distance = 540 miles
Therefore, the time taken will be -
t = [tex]\frac{540}{54}[/tex] = 10 hours
For passenger train -
The freight train moved for 10 hours. Since, both of them started at the same time, therefore -
d = speed of passenger train x time taken by freight train to move 10 hours.
d = 57 x 10 = 570 miles
Hence, the distance covered by the Passenger train is 570 miles.
To solve more questions on Determining unknown quantity, visit the link below -
https://brainly.com/question/16247158
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