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
Pick one.
A) 35  B) 36 2/3  C) 37 1/2  D) 40  E) 42
Let distance = x km and usual rate = y kmph.   Then, x/y - x/(y+3) = 40/60 --&gt; 2y (y+3) = 9x ----- (i)   Also, x/(y-2) - x/y = 40/60 --&gt; y(y-2) = 3x -------- (ii)   On dividing (i) by (ii), we get: x = 40.   Answer : 40.
<result>D</result>
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