Management Aptitude Test Feb 2012 Paper

(2) Let speed of bus = x km/h
and speed of car = (x + 25) km/h
Also, distance = 500 km
Then, according to the question,
$\frac{500}{\mathit{x}}-\frac{500}{\mathit{x}+25}$ = 10
⇒ 500 (x + 25 - x ) = 10(x) (x + 25)
⇒ x (x + 25) = 25 x 50
⇒ x = 25 km/h
and (x + 25) = 25+ 25= 50 km/h
Hence, speeds of the car and the bus are 50 km/h and 25 km/h respectively.