A man covered a certain distance at some speed. Had he moved 3 kmph faster, he would have taken 40 minutes less. If he had moved 2 kmph slower, he would have taken 40 minutes more. The distance (in km) is:
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Answer: 40 Kilometres.
Two simple equations will help us understand the answer easily, let us take x= distance and y= usual rate kmph.
Then, x/y -x/(y+3)=40/60 2y(y + 3) = 9x ....(i)
And, x/y-2 – x/y=40/60 y (y-2)=3x (ii)
On dividing the first equation by the second equation, we get x=40.
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