SOLUTION: A train makes a trip at 65 mi/h. A plane traveling 130 mi /h makes the same trip in 3 fewer hours. Write and solve an equation to find the distance of the trip. I dont need hel

Algebra ->  Expressions-with-variables -> SOLUTION: A train makes a trip at 65 mi/h. A plane traveling 130 mi /h makes the same trip in 3 fewer hours. Write and solve an equation to find the distance of the trip. I dont need hel      Log On


   

Question 998210: A train makes a trip at 65 mi/h. A plane traveling 130 mi /h makes the same trip in 3 fewer hours. Write and solve an equation to find the distance of the trip.
I dont need help to solve the equation, I am just having a great deal of trouble writing the equation.
Thank you.
Found 2 solutions by solver91311, rothauserc:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Distance equals rate times time, so the train, goes a certain distance which is equal to times some amount of time, , to wit:



And the time it takes is given by:



The plane goes the same distance at in three fewer hours, viz.



And the time it takes is given by:



Since



Solve for

John

My calculator said it, I believe it, that settles it

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the time it takes the train to make the trip, then
65 * x = d, where d is the distance of the trip
130 * (x - 3) = d
Now set the equations equal to each other and solve for x
65 * x = 130 * (x-3)
65x = 130x - 390
65x = 390
x = 6
65 * 6 = d
d = 390 miles