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 & Then,\,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…