The two lines represent the distance traveled, over time, by two trains. Which train is traveling more quickly?

huh show us a picture of it or something,

No picture, but I think I know the problem..

Step-by-step explanation:

The trick with word problems is to pick them apart to see what you know, then build equations that you can solve.  It takes some practice.

In this problem, we know that one train starts two hours before the other one and travels at a known rate. Let's calculate how far it goes in those two hours:

d = rt = 2 hrs * 60 mi/hr = 120 mi

The time is now 7:00 and the trains are 455 - 120 = 335 mi apart.

Now both trains are moving, one traveling at 60 mi/hr and the other at 70 mi/hr.

Their closing speed is just 60 + 70 = 130 mi/hr, and the total distance to go is 335 mi.

Solve the rate equation for t to get t = d/r.  Plug in 335 for d and 130 for r.

Time to collision is t = 325 / 130 = 2.5769 hrs.

That's 2 hours with a remainder of 0.5769

0.5769 * 60 minutes = 34.615 minutes

0.615 * 60 seconds = 37 seconds

The time of collision will thus be the sum of 2 hrs + 2.5769 hrs added to the 5:00 starting time.

Tc = 5:00 + 4.5769 = 5:00 + 4:00 + 0:34 + 0:00:37 = 9:34:37

Sometimes, a problem will even ask where they would meet.  Once you get to the point where you know the total travel times of both trains and their travel times, you could calculate how far each one went and find the exact location where they meet.  You can treat each train's distance as a separate problem since you now know what each one did independently of the other.  Try it!  To check, their distances added together should be 455 when you're finished.

I hope this is helpful.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: