Question 52678
Distance = rate * time or d=rt
Because P and Q are traveling opposite of each other we add their distances to get the 580 km.
If the rate that Q travels is r, then the rate that P travels is r+4.
The time that they both traveled is 5.
Therefore, the distance that P traveled is 5(r+4)  and the distance that Q traveled is 5r.  So our equation to solve is:
5(r+4)+5r=580
5r+20+5r=580
10r+20=580
10r+20-20=580-20
10r=560
10r/10=560/10
r=56 km/h  This is the rate that Q traveled.
The rate that P traveled is r+4=56+4=60 km/h