A man covers a distance on scooter. Had he moved 3kmph faster he would have taken 40 min less. If he had moved 2kmph slower, he would have taken 40min more. The distance is. Choose the correct choice from the following answers
A) 30 km  B) 60 km  C) 80 km  D) 20 km  E) 40 km

Rationale: e 40 km let distance = x m usual rate = y kmph x / y – x / y + 3 = 40 / 60 hr 2 y ( y + 3 ) = 9 x - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ( 1 ) x / y - 2 – x / y = 40 / 60 hr y ( y - 2 ) = 3 x - - - - - - - - - - - ( 2 ) divide 1 & 2 equations by solving we get x = 40 km
Answer: E