Final answer:
Technician A is incorrect as the driven gear will rotate slower than the driving gear. Technician B is also incorrect; the correct gear ratio between the driving gear with 15 teeth and the driven gear with 29 teeth is 1.93:1.
Step-by-step explanation:
When considering the situation where a driving gear has 15 teeth and the driven gear has 29 teeth, we can determine the resulting speeds of the gears by simply comparing the number of teeth on each gear. The speed of the gears is inversely proportional to the number of teeth. Therefore, if the driving gear (input gear) has 15 teeth and the driven gear (output gear) has 29 teeth, the driven gear will rotate slower than the driving gear because it has more teeth. The driven gear will not go faster as Technician A suggests.
To find the gear ratio, we divide the number of teeth on the driven gear by the number of teeth on the driving gear: 29/15, which gives us approximately 1.93:1. This ratio means that for every rotation of the driving gear, the driven gear will rotate 1.93 times less. Therefore, the statement of Technician B mentioning a ratio of 3.86:1 is also incorrect. The correct gear ratio is 1.93:1.