Question
Maria bicycles 8km/h faster than Dennis. In the same time it takes Dennis to bicycle 33km, Maria can bicycle 37km. How fast does each bicyclist travel?
Answers
Steve
m = d+8
33/d = 37/m = 37/(d+8)
33(d+8) = 37d
33*8 + 33d = 37d
33*8 = 4d
33*2 = d
d = 66
m = 74
check:
dennis takes 1/2 hour to go 33km
mary takes 1/2 hour to go 37 km
33/d = 37/m = 37/(d+8)
33(d+8) = 37d
33*8 + 33d = 37d
33*8 = 4d
33*2 = d
d = 66
m = 74
check:
dennis takes 1/2 hour to go 33km
mary takes 1/2 hour to go 37 km