SOLUTION: Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hour faster than the other car. Find their speeds if after 6 hours they are 564 mil

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Question 885905: Two cars start from the same place traveling in opposite directions. One car travels 4 miles per hour faster than the other car. Find their speeds if after 6 hours they are 564 miles apart.
Found 2 solutions by lwsshak3, josmiceli:
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website!
wo cars start from the same place traveling in opposite directions. One car travels 4 miles per hour faster than the other car. Find their speeds if after 6 hours they are 564 miles apart.
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let x=speed of 1st car
x+4=speed of 2nd car
distance=travel time*speed
6x+6(x+4)=564
6x+6x+24=564
12x=540
x=45
x+4=49
speed of 1st car=45 mph
speed of 2nd car=49 mph

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Think of this as one car standing still and the
other moving at the sum of their speeds
Let the speed of the slower car = mi/hr
Let the speed of the faster car = mi/hr
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Their speeds are 45 mi/hr and 49 mi/hr
check:
slower car:

faster car:

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OK