The distance between two towns is $20: km$ less by road than by rail. A train takes three hours for the journey, a car four hours. If the average speed of the car is $15: km/hr$ less than that of the train what is the average speeds of the car?

Let the average speed of the car be v km/hr, making the train's speed (v + 15) km/hr. The distances traveled are 4v by road and 3(v + 15) by rail, and we know the rail distance is 20 km more, so 3(v + 15) minus 4v equals 20. Solving this equation gives 3v + 45 minus 4v equals 20, which means v is 25 km/hr.

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