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