Question 886239
Distance per hour = 15 km/1.5 kmh, or 10 kmh
X + Y = 10
Y = X + 2 (he is slower by 2)
Substitute the known value of Y from the second equation into the first.
X + Y = 10
X + (X+2) = 10
2X + 2 = 10
2X = 8
X = 4
The slower hiker is traveling 4kmh.  Therefore the faster hiker is traveling 6khm.
.
Prove it:
Hiker X travels 4 * 1.5 hours, or 6 km
Hiker Y travels 6 * 1.5, or 9 km
6 + 9 = 15 km in 1.5 hours
Success!