TyPICAL TRAIN PROBLEMS!!!1

y3ah

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Jan 3, 2006
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Two trains are traveling on striaght, parallel tracks. One train, traveling at 60mph, is at point X. Another train, traveling at 55MPH, is at point Y, which is 250 miles from point X.

How far about will they be after traveling TOWARD EACH OTHER FOR 1 HOUR
How far apart will the be TRAVELING AWAY FROM EACH OTHER FOR 2 HOURS
How far apart will they be after traveling in the SAME DIRECTION FOR 2 HOURS

I need help And I hop eyou'll help me. I'm 12 and pre-algebra is HARD and my mom wants me to get a tutor.
 
When you get the private emal, feel free to post it here.
 
ok

I will give you the same hints that were given to me when solving similar distance problems.

You will need to use the formula: Rate multiplied by Time = Distance or simply
R x T = D, where R = rate or speed, T = times in terms of hour and D = distance.

More Hints:

1) When objects more toward each, distances are equal.

2) When objects move away from each other, times equal, total distance given.

3) When objects move in the same direction, distances are equal.

What we know from the question:

1) The speed or rate of both trains: one at 60mph; the other at 55mph

2) The different times in terms of hours.

3) How far away Train B is from Train A: 250 miles.

You need to use R x T = D to set up three equations that will lead to the answer in three parts. Why three parts? This question is a three-part question.

I hope this helps.
GWS
 
y3ah said:
Two trains are traveling on striaght, parallel tracks. One train, traveling at 60mph, is at point X. Another train, traveling at 55MPH, is at point Y, which is 250 miles from point X.

How far about will they be after traveling TOWARD EACH OTHER FOR 1 HOUR
How about a diagram:
Code:
           <-      250miles  ->
           
    -------*------------------*--------
           X                  Y


   Train X travels towards train Y a distance of:

      distance = speed * time
                 
                      miles   
               =  60 ------  *    1 hour
                      hour

               = 60 miles

   Train Y travels towards train X a distance of

     distance = speed * time

                    miles
              = 55  ----- * 1 hour 
                    hour          
              
              = 55 miles


    Draw these on the diagram:

           <-      250       ->       X': train X's new position
                                        Y': train Y's new position
    -------*-----*-------*----*--------
           X     X'      Y'   Y 
           ------>       <-----      
             60            55
                 <------->
                    /|\
                     |
       the new distance between the two trains is?
 
y3ah said:
Two trains are traveling on striaght, parallel tracks. One train, traveling at 60mph, is at point X. Another train, traveling at 55MPH, is at point Y, which is 250 miles from point X.

How far about [sic] will they be after traveling TOWARD EACH OTHER FOR 1 HOUR
How far apart will the be TRAVELING AWAY FROM EACH OTHER FOR 2 HOURS
How far apart will they be after traveling in the SAME DIRECTION FOR 2 HOURS

I need help And I hop eyou'll help me. I'm 12 and pre-algebra is HARD and my mom wants me to get a tutor.

This is a straightforward addition and subtraction problem. Not even pre-algebra.

When they travel toward each other they are decreasing the distance between them. Together they are decreasing the distance by 115 miles in an hour. So what's left when you take away 115 from 250?

I contend that the third question cannot be answered. Not enough information. The answer would depend on whether the slower train is traveling ahead of behind the faster train. Are they trying to trick a 12-year-old with this question or did the question maker not play with a full deck?
 
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