Question 799008
Wind speed w; plane airspeed p
Dist=speed * time
with wind: (p+w)*5 = 5750 (1)
against: (p-w)*6 = 5100 (2)
(1) 5p+5w=5750
(2)+650: 650+6p-6w = 5100+650 = 5750 = (1)
so 5p+5w=650+6p-6w
11w=650+p or p=(11w-650) (3)
subst for p in (1): 5*(11w-650)+5w = 5750
55w+5w-3250 = 5750 or 60w = 9000
w=150
subst in (3): p=11*150 - 650 = 1650-650 = 1000
Plane 1000 km/hr; Wind 150 km/hr

Check:
with: 1150*5= 5750
against: 850*6= 5100