<span>(230 + w) x ( t ) = ( 275 )
(230 - w) x ( t ) = ( 185)
t = 275 / (230 + w)
t = 185 / (230 - w)
275 / (230 + w) = 185 / (230 - w)
275(230 - w) = 185(230 + w)
63250 - 275w = 42550 + 185w
20700 = 460w
w = 45mph
</span>
Remember
(x^m)^n=x^(mn)
and
![x^{m/n}=\sqrt[n]{x^{m}}](https://tex.z-dn.net/?f=%20x%5E%7Bm%2Fn%7D%3D%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20)
(m^(2/3))^(1/2)=m^(2/6)=m^(1/3)
m^(1/3)=∛m
last one (rightmost)
Checking answer A:
distance from U to V = -2-(-11)=9
distance from U to W =7-(-2)=9 -> same distance !
checking answer B:
distance U-V : -2-(-8)=6
U-W : -2-(-6)=4 -> not the same distance
answer C :
U-V : -2-(-6)=4
U-W : 6-(-2)=8 -> not the same distance
answer D :
U-V : 0-(-2)=2
U-W : 2-(-2)=4 -> not the same distance
Conclusion : answer A