For the gear train shown in the following figure, arrows $1$ and $3$ are $12$in$.$apart.he drive gear a has $20$ teeth, diametral pitch of $4$ and rotates counterclockwise at $2500$ rpm$.$ the relationship of speeds between gears a and des $1/5.$ Gear D has $70$ teeth and a diametral pitch of $7.$ all gears have a pressure angle of $20$ degrees and full depth, and are made of grade $1$ steel $($A and B$).$ Fully hardened to $250$ Brinell, C Y D gears are known to be grade $2$ steel fully hardened to $300$ HB to number $6$ quality standards, uncrown and made to be rigidly and accurately mounted. Assume a life for all gears of $10"$ cycles and a reliability of $0\mathrm{.}9.$ Calculate the torque acting on each shaft $(1,2,3),$ if the input power on shaft is $75$hp$.$ Calculate the number of theeth of gears B and C$.$ Calculate the width of the teeth for gears B and C$.$