SOLUTION: two cares leave st.louis. one travels north and one travles south. the care traveling north is moving 10mph faster than the care traveling south. after three hours the cars are 35

Question 14579: two cares leave st.louis. one travels north and one travles south. the care traveling north is moving 10mph faster than the care traveling south. after three hours the cars are 354 miles apart. how fast is each car traveling?

Found 2 solutions by glabow, dolphingurl:
Answer by glabow(165) (Show Source): You can put this solution on YOUR website!
Ah, if I could get rid of my cares so easily! [watch those typos]
It really doesn't matter if they are going North, South, or any other direction. The question boils down to: two cars travel. One goes at a speed of ? miles per hour. Let's use the letter x for that unknown speed. The other one goes x+10 miles per hour. [Do you see why?] After three hours of travel, the total distance they have traveled is 354 miles.
The slower car goes 3 hours times x miles per hour, which is 3x miles.
The faster car goes 3 hours times x+10 miles per hour, which is 3(x+10) miles.
The total distance they travel is 3x + 3(x+10) = 354 miles.
This is easy to solve.
3x + 3x + 30 = 354 [simplifying the expression]
6x + 30 = 354 [more simplifying]
6x = 324 [subtracting 30 from both sides]
x = 54 [dividing both sides by 6]
x+10 = 64
Checking: 3(54) + 3(64) = 162 + 192 = 354

Answer by dolphingurl(4) (Show Source): You can put this solution on YOUR website!
It really doesn't matter if they are going North, South, or any other direction. The question boils down to: two cars travel. One goes at a speed of how many miles per hour. Let's use the letter x for that unknown speed. The other one goes x+10 miles per hour. Do you see why? After three hours of travel, the total distance they have traveled is 354 miles.
The slower car goes 3 hours times x miles per hour, which is 3x miles.
The faster car goes 3 hours times x+10 miles per hour, which is 3(x+10) miles.
The total distance they travel is 3x + 3(x+10) = 354 miles.
This is easy to solve.
3x + 3x + 30 = 254 [simplifying the expression]
6x + 30 = 354 [more simplifying]
6x = 324 [subtracting 30 from both sides]
x = 54 [dividing both sides by 6]
x+10 = 64
Checking: 3(54) + 3(64) = 162 + 192 = 354
RELATED QUESTIONS
TWO CARS LEAVE AN INTERSECTION AT THE SAME TIME. ONE TRAVELS NORTH AND THE OTHER HEADS... (answered by mananth)
Two cars leave Atlanta at the same time. One is traveling north and another is traveling... (answered by fractalier)
Two cars leave philadelphia, one traveling north and the other traveling south. After 3... (answered by stanbon,checkley77)
two boats leave at the same time, one goin north and the other goin souththe north ound... (answered by mananth)
Two planes leave St. Louis at the same time. One flies north at 350 mph and the other... (answered by robertb)
Two cars leave a city at the same time, one trabels north and the other south. The car... (answered by josmiceli)
Question Help (answered by josgarithmetic)
Two boats leave a port at the same time one going north and the other traveling south the (answered by ikleyn)
Two trains leave chattanooga, TN at the same time. One traveling north and the other... (answered by rothauserc)