PROBLEM $3$ A gear box has a input speed of $1500$ rpm clockwise and an output speed of $300$ rpm anticlockwise. The input power is $20$ kW and the efficiency is $70\%.$ Determine the following:

a$)$ The gear ratio

b$)$ The input torque

c$)$ The outpu power

d$)$ The output torque

e$)$ The holding torque