"But you must do some studying," declared Mr. Swift. "I will hear you in mathematics right after breakfast."

"All right, dad. I guess you'll find I have my lessons."

Tom had graduated with honors from a local academy, and when it came to a question of going further in his studies, he had elected to continue with his father for a tutor, instead of going to college. Mr. Swift was a very learned man, and this arrangement was satisfactory to him, as it allowed Tom more time at home, so he could aid his father on the inventive work and also plan things for himself. Tom showed a taste for mechanics, and his father wisely decided that such training as his son needed could be given at home to better advantage than in a school or college.

Lessons over, Tom hurried to his own particular shop, and began taking apart the damaged motor-cycle.

"First I'll straighten the handle-bars, and then I'll fix the motor and transmission," he decided. "The front wheel I can buy in town, as this one would hardly pay for repairing." Tom was soon busy with wrenches, hammers, pliers and screw-driver. He was in his element, and was whistling over his task. The motor he found in good condition, but it was not such an easy task as he had hoped to change the transmission. He had finally to appeal to his father, in order to get the right proportion between the back and front gears, for the motor-cycle was operated by a sprocket chain, instead of a belt drive, as is the case with some.

Mr. Swift showed Tom how to figure out the number of teeth needed on each sprocket, in order to get an increase of speed, and as there was a sprocket wheel from a disused piece of machinery available, Tom took that. He soon had it in place, and then tried the motor. To his delight the number of revolutions of the rear wheel were increased about fifteen per cent.

"I guess I'll make some speed," he announced to his father.

"But it will take more gasolene to run the motor; don't forget that. You know the great principle of mechanics--that you can't get out of a machine any more than you put into it, nor quite as much, as a matter of fact, for considerable is lost through friction."

"Well, then, I'll enlarge the gasolene tank," declared Tom. "I want to go fast when I'm going."

He reassembled the machine, and after several hours of work had it in shape to run, except that a front wheel was lacking.