SOLUTION: Two motorists, one traveling at 5 kph faster than the other, leave the same place at the same time and travel in opposite directions. Find the rate of each if they are 195 km apart

Let x be the rate of the slower motorist, in km/h.


Then the rate of the faster is (x+5) km/h, according to the condition.


In 3 hours, the slower motorist will cover  the distance of 3x kilometers.

while the faster will cover 3(x+5) kilometers.


The total distance is the sum of partial distances, so your equation is


3x + 3(x+5) = 195

3x + 3x + 15 = 195

6x = 195 - 15 = 180  ====>  x =  = 30.


Answer.  The slower motorist rate is 30 km/h;  that of the faster motorist is 35 km/h.