A car covers a certain distance in 25 hrs. If it reduces the speed by $$\frac{1}{5}$$ th, the car covers 200 km less in that time. The speed of car is ?->(Show Answer!)

1. A car covers a certain distance in 25 hrs. If it reduces the speed by $$\frac{1}{5}$$ th, the car covers 200 km less in that time. The speed of car is

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By: anil on 05 May 2019 02.56 pm

Let speed of car initially = $$5x$$ km/hr Time taken = 25 hours => Distance covered by car initially = $$25 imes 5x=125x$$ km If speed is reduced by $$(frac{1}{5})^{th}$$, new speed = $$5x-frac{1}{5} imes 5x=4x$$ km/hr => Distance covered in 25 hours = $$25 imes 4x=100x$$ km According to ques, => $$125x-100x=200$$ => $$25x=200$$ => $$x=frac{200}{25}=8$$ $$ herefore$$ Speed of car = $$5 imes 8=40$$ km/hr => Ans - (C)

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