SOLUTION: The distance between 2 towns is 300 km.Two cars start simultaneously from these towns and move towards each other.The speed of one car is more than the other by 7 km/h.If the dista

Algebra ->  Linear-equations -> SOLUTION: The distance between 2 towns is 300 km.Two cars start simultaneously from these towns and move towards each other.The speed of one car is more than the other by 7 km/h.If the dista      Log On


   

Question 702272: The distance between 2 towns is 300 km.Two cars start simultaneously from these towns and move towards each other.The speed of one car is more than the other by 7 km/h.If the distance between the cars after 2 hours is 34 km,Find the speed of the cars.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
There was another one like this earlier, and the time information was lacking. This one here is better.
Let r = speed of the slower car.

Car ------Speed, km/h-------Time, hours----------Distance, km
Fast car___r+7______________2____________________%28r%2B7%29%2A2
Slow car____r ______________2 ___________________r%2A2

The cars start 300 km apart and move toward each other, so sum of all lengths or distances must be 300.

%28r%2B7%29%2A2%2B34%2Br%2A2=300
Find r.
Compute r+7.