A man travels x km at 60 km/h and y kmat 40 km/h and takes 2 hours for the journey. If the time taken to travel 5x km at 40 km/h and 3y km at 50 km/h is 11 hours 42 minutes, find x and y.
x/60 + y/40 = 2,
5x/40 + 3y/50 =11.7, solve for x, y
x =1380/ 17 =~81 + 3/17 - km
y = 440/ 17 =~25 + 15/17 - km.