1. A train travels 20% faster than a car. Both start from point A at the same time and reach point B, 180 km away at the same time. On the way the train takes 30 minutes for stopping at the stations. What is the speed (in km/hr) of the train?
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- By: anil on 05 May 2019 01.47 amLet speed of car = $$100x$$ km/hr => Speed of train = $$100x imesfrac{120}{100}=120x$$ km/hr Total time taken by train to reach point B = $$(frac{180}{120x}+frac{30}{60})$$ hours and time taken by car = $$frac{180}{100x}$$ hours According to ques, => $$frac{180}{120x}+frac{1}{2}=frac{180}{100x}$$ => $$frac{180}{100x}-frac{180}{120x}=frac{1}{2}$$ => $$frac{180}{20x}(frac{1}{5}-frac{1}{6})=frac{1}{2}$$ => $$frac{9}{x}(frac{1}{30})=frac{1}{2}$$ => $$x=frac{18}{30}=frac{3}{5}$$ $$ herefore$$ Speed of train = $$120 imesfrac{3}{5}=72$$ km/hr => Ans - (C)
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