1. To travel 732 km, an Express train takes 6 hours more than Rajdhani. If the speed of the Express train is doubled, it takes 3 hours less than Rajdhani. The speed of Rajdhani is
Write Comment
Comments
By: anil on 05 May 2019 02.11 am
Let speed of Rajdhani train = $$x$$ km/hr and Express train = $$y$$ km/hr Using, time = distance/speed Acc. to ques, => $$frac{732}{y} - frac{732}{x} = 6$$ => $$frac{1}{y} - frac{1}{x} = frac{6}{732} = frac{1}{122}$$ ----------------(i) If speed of express train is doubled = $$2y$$ km/hr => $$frac{732}{x} - frac{732}{2y} = 3$$ => $$frac{1}{x} - frac{1}{2y} = frac{3}{732} = frac{1}{244}$$ ----------------(ii) Adding equations (i) and (ii), we get : => $$frac{1}{y} - frac{1}{2y} = frac{1}{122} + frac{1}{244}$$ => $$frac{1}{2y} = frac{3}{244}$$ => $$y = frac{122}{3}$$ km/hr $$ herefore$$ Speed of Rajdhani = $$frac{1}{x} = frac{3}{122} - frac{1}{122}$$ => $$frac{1}{x} = frac{2}{122} = frac{1}{61}$$ => $$x = 61$$ km/hr
Terms And Service:We do not guarantee the accuracy of available data ..We Provide Information On Public Data.. Please consult an expert before using this data for commercial or personal use