Train A has a speed 15 miles per hour greater than that of train B. If train A travels 280 miles in the same time train B travels 250 miles, what are the speeds of the two trains?

Step-by-step explanation:

Let's make a table to keep track of the info.

                       d         =         r          *          t

Train A

Train B

Now we just need to fill it in!  Let's look at the rates first, since that's the first bit of info given.  Train A is going 15 miles per hour faster than Train B, but because we don't know how fast either is going, we will say that the rate of B is r, and the rate of A then is r + 15.  Let's put that in the table.

                      d         =         r         *         t

Train A                             r + 15

Train B                                 r

The distance Train A travels is 280 and the distance Train B travels is 250:

                       d          =           r          *         t

Train A        280         =        r + 15

Train B        250         =            r

We're getting there.  We just need the time now.  We don't have it, but we do know they left at the same time, t, so

                     d              =           r            *          t

Train A        280            =      r + 15         *          t

Train B        250           =           r             *          t

The distance formula is d = rt, as illustrated in the way the table is set up, so let's get the distance formula for each train.  

Train A:   280 = t(r + 15)

Train B:  250 = rt

Can't do much with that right now, but let's think about equality here for a minute.  If the time is the same for both trains, then

t for Train A = t for Train B

Let's solve each of those distance equations for t and set them equal to each other:

Train A:

Train B:

 and setting them equal to each other because t = t:

Cross multiply to get

280r = 250r + 3750 and

30r = 3750 so

r = 125

Train B is going 125 mph and Train A is going 140 mph.  A bit fast, if I do say so myself.

step-by-step explanation:

ok one would be money, and the other would be refreshments or something similar. if each bag of popcorn is 5.00 and each drink is half of that that means drinks are 2.50 the proper way to do that would to look and see how much of each you can buy without exceeding a limit of 30.00

he has now walked a total of what?

if i know what this is maybe i can

step-by-step explanation: