A man covered a certain distance at some speed. Had he moved 3 kmph f…

Question

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 :

Accepted Answer

Option D. 40 km. Answer & Solution Answer: Option D Solution: Let distance = x km and usual rate = y kmph & x/y - xy + 3 = 4060 & 2y ( y + 3 ) = 9x.....(i) And, & xy - 2 - x/y = 4060 & y ( y - 2 ) = 3x.....(ii) On dividing (i) by (ii), we get : & 2 ( y + 3 ) = 3 ( y - 2 ) & y = 12 ∴ Distance : &…