The distance between the two towns is km. Two cars start simultaneously from these towns and move towards each other. The speed of one car is more than the other by km per hour. If the distance between the cars after hours is km, find the speed of the cars.
Step 1. Obtain the required equation.
The total distance between the two towns is
The speed of one car is more than the other by
The distance between the cars after is
Let the car start from town be Car-A and car start from town be Car-B.
The speed of car-A is
The speed of car-B is
Use formula:
Now, the distance between the cars after hours is .
Distance traveled by car-A in hours is
Distance traveled by car-B in hours is
Step 2. Solve the equation to determine the required speed.
The speed of car-A .
The speed of car-B .
Hence, the speed of the cars are and .