I tried and I got a ridiculous large number for the neutrino mass. I basically used E=\gamma m c and then, for 10 MeV neutrinos, time taken is t + 10 seconds to reach Earth, for 50 MeV neutrinos, time taken is t seconds.
Speed = \frac{100 000}{(t+10)} for 10 MeV and Speed = \frac{100 000}{t}...