Let distance covered by steamer = $$d$$ km => Distance covered by rail = $$(404 - d)$$ km Let time taken on rail = $$t$$ hours and time taken on steamer = $$(t + 10)$$ hours Speed of rail = 50 km/hr and speed of steamer = 30 km/hr Using, speed = distance/time For steamer, $$frac{d}{t + 10} = 30$$ => $$d = 30t + 300$$ --------------(i) For rail, $$frac{404 - d}{t} = 50$$ Substituting value of $$d$$ from equation (i), we get : => $$404 - (30t + 300) = 50t$$ => $$404 - 300 = 50t + 30t = 80t$$ => $$t = frac{104}{80} = 1.3$$ hours Substituting value of $$t$$ in equation (i), => $$d = (30 imes 1.3) + 300$$ = $$39 + 300 = 339$$ km