1. A man travels 430 kilometres in, partly by rail and partly by steamer. He spends 10 hours more time on steamer. If the velocity of the steamer is 25 km/hr and the velocity of rail is 65 km/hr, how much distance does he cover by steamer?
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By: anil on 05 May 2019 02.16 am
Let distance covered by steamer = $$d$$ km => Distance covered by rail = $$(430 - d)$$ km Let time taken on rail = $$t$$ hours and time taken on steamer = $$(t + 10)$$ hours Speed of rail = 65 km/hr and speed of steamer = 25 km/hr Using, speed = distance/time For steamer, $$frac{d}{t + 10} = 25$$ => $$d = 25t + 250$$ --------------(i) For rail, $$frac{430 - d}{t} = 65$$ Substituting value of $$d$$ from equation (i), we get : => $$430 - (25t + 250) = 65t$$ => $$430 - 250 = 65t + 25t = 90t$$ => $$t = frac{180}{90} = 2$$ hours Substituting value of $$t$$ in equation (i), => $$d = (25 imes 2) + 250$$ = $$50 + 250 = 300$$ km => Ans - (B)
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