Let distance covered by steamer = $$d$$ km => Distance covered by rail = $$(400 - d)$$ km Let time taken on rail = $$t$$ hours and time taken on steamer = $$(t + 9)$$ hours Speed of rail = 70 km/hr and speed of steamer = 30 km/hr Using, speed = distance/time For steamer, $$frac{d}{t + 9} = 30$$ => $$d = 30t + 270$$ --------------(i) For rail, $$frac{400 - d}{t} = 70$$ Substituting value of $$d$$ from equation (i), we get : => $$400 - (30t + 270) = 70t$$ => $$400 - 270 = 70t + 30t = 100t$$ => $$t = frac{130}{100} = 1.3$$ hours Substituting value of $$t$$ in equation (i), => $$d = (30 imes 1.3) + 270$$ = $$39 + 270 = 309$$ km