Two trains leave stations 504 miles apart at the same time and travel toward each other. One train travels at 100 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Question

Two trains leave stations 504  miles apart at the same time and travel toward each other. One train travels at 100 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

anonymous · Answer

You did not write any numbers

anonymous · Answer

Do you see numbers now ?

anonymous · Answer

hint: Both will meet at the same time at some point. so...
speed=distance/time or  time=dist/speed. since time is equal for both, only speed and distance are different so:
time=distance/speed of one train =distance/speed of the 2nd train

anonymous · Answer

I want you to understand the idea and fill inthe numbers, give it a try

anonymous · Answer

the distance for one would be x and the other would be (504-x)

anonymous · Answer

x/100=(504-x)/80

anonymous · Answer

once you know x you can find the time the train going at 100 would take to reach that distance.

anonymous · Answer

got it?

anonymous · Answer

I didn't get it >.<

anonymous · Answer

The two trains are 504 miles apart and start at the same time at different speeds

anonymous · Answer

Now they will meet at some point at the same time, so the even though one will run faster and travel more distance than the other but since we want to know when they meet so the time it take both of them to get to that point is the same

anonymous · Answer

do you get this far

anonymous · Answer

yeah

anonymous · Answer

so now this time is diatance/ speed, right?. since speed=distance/time
got it?

anonymous · Answer

yes i got it but how can i now that the distance for one would be x and the other would be (504-x) ?

anonymous · Answer

Because the total distance between them is 504 miles and we don't know what is the distance at which they meet. So if say train A going at 100m/h travels x miles the other travels 504-x miles.

anonymous · Answer

The remaining distance

anonymous · Answer

Since the time is the same for both dist/speed of trainA=dist/speed of trian B
So x/100= (504-x)/80 and we get x=280 , they meet at a point which is 280 miles from where the train going at 100m/hr started out. In other words t= 280/100 or 2.8 hours . 
The other train going travels 504-280=224 miles. Just to check if we are right 224/80=2.8 hours again.
I can explain again if you didn't get.

anonymous · Answer

Okay i got it ! .. thank you so much =)