SOLUTION: Two trains are 330 miles apart, and their speeds differ by 20 mph. They travel toward each other and meet in 3 hrs. Find the speed of each train. I'm having trouble putting thi

Question 462379: Two trains are 330 miles apart, and their speeds differ by 20 mph. They travel toward each other and meet in 3 hrs. Find the speed of each train.
I'm having trouble putting this problem into an equation.
It's different from the other travel/distance questions i've had.
I understand if i'm given the mph for each train but i don't know how to find it in this problem.

Found 3 solutions by stanbon, amoresroy, MathLover1:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Two trains are 330 miles apart, and their speeds differ by 20 mph. They travel toward each other and meet in 3 hrs. Find the speed of each train.
-------------------------
Let the speed of one train be "x" mph.
Then the speed of the 2nd train is "x+20"
----
And the combined speed of the 2 trains is x + x+20 = 2x+20 mph
------------------
Equation:
distance = rate *time
330 = (2x+20)*3
110 = 2x+20
2x = 90
x = 45 mph (speed of one train)
x+20 = 65 mph (speed of the other train)
===========================================
Cheers,
Stan H.
===========
Answer by amoresroy(361)   (Show Source): You can put this solution on YOUR website!
Two trains are 330 miles apart, and their speeds differ by 20 mph. They travel toward each other and meet in 3 hrs. Find the speed of each train.
I'm having trouble putting this problem into an equation.
It's different from the other travel/distance questions i've had.
I understand if i'm given the mph for each train but i don't know how to find it in this problem.
Let x = the speed of the slower train in mph
x+20 = the speed of the faster train in mph
speed times time = distance
(x + x+20)*3 = 330
2x + 20 = 110
2x = 90
x = 45
x+20 = 65

The speed of each train is 45mph and 65 mph.

Answer by MathLover1(20855)   (Show Source): You can put this solution on YOUR website!

given data:
distance: miles ; time ; rate
:
distance: ; time ; rate
rate1 - rate2

...... distance traveled by 1st train
of first train is
of second train is