A motorist drove for 2 hours at one speed and then for 3 hours at another speed. He covered a distance of 252 km. If he had traveled 4 hours at the first speed and one hour at the second speed, he would have covered 244 km. Find the speeds.

Answer 1

2 x + 3 y = 252

4 x + 1 y = 244

multiply second equation by 3

2 x + 3 y = 252
12x + 3 y = 732
-----------------subtract
- 10 x = - 480

x = 48
then y = 244-192 = 52