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 Choose the correct option
A) 27  B) 87  C) 40  D) 18  E) 17
Explanation:   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 km.   Answer: 40
<result>C</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