1. A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?
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By: anil on 05 May 2019 01.47 am
Let the usual speed of bus = $$7x$$ km/hr Total distance = 200 km Distance travelled at usual speed = $$frac{2}{5} imes200=80$$ km and distance travelled at slow speed = $$200-80=120$$ km Slow speed = $$frac{6}{7} imes7x=6x$$ km/hr According to ques, => $$frac{120}{6x}-frac{80}{7x}=frac{50}{60}$$ => $$frac{20}{x}-frac{80}{7x}=frac{5}{6}$$ => $$frac{60}{7x}=frac{5}{6}$$ => $$x=frac{60}{7} imesfrac{6}{5}=frac{72}{7}$$ $$ herefore$$ Usual speed of bus = $$7 imesfrac{72}{7}=72$$ km/hr => Ans - (B)
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