Answer
The range of the strong nuclear force is around 100 times greater than the range of weak nuclear force. The range varies inversely with the mass of the exchange particle. So the mass of the short-range weak force exchange particle should be greater than mass of the long-range strong force exchange particle.
The ratio of the masses of the particles should be on the order of 100 to 1000 times, since
$\frac{m_{W}}{m_{S}}=\frac{R_{S}}{R_{W}}\approx\frac{10^{-15}m}{10^{-17}m}\approx100$
Work Step by Step
The range of the strong nuclear force is around 100 times greater than the range of weak nuclear force. The range varies inversely with the mass of the exchange particle. So the mass of the short-range weak force exchange particle should be greater than mass of the long-range strong force exchange particle.
The ratio of the masses of the particles should be on the order of 100 to 1000 times, since
$\frac{m_{W}}{m_{S}}=\frac{R_{S}}{R_{W}}\approx\frac{10^{-15}m}{10^{-17}m}\approx100$
