u + v = 40
vu\frac{v}{u}uv = 3
v = 3u
u + 3u = 40
4u = 40
u = 10cm
v = 3u = 30cm
f = uvu+v=10(30)10+30=30040\frac{uv}{u+v} = \frac{10(30)}{10+30} = \frac{300}{40}u+vuv=10+3010(30)=40300
= 7.5 cm