Question

HELP NEEDED!!!! MUCH APPRECIATED

Answer 1

We have

$t_1 + t+2 = \dfrac{\sqrt{s}}{4} + \dfrac{s}{1100} = .5$

Multiplying through by 1100,

$275 \sqrt{s} + s = 550$

$275 \sqrt{s} = 550 - s$

Squaring (which means we need to check later),

$275^2 s = (550 - s)^2 = 550^2 - 1100 s + s^2$

$0 = s^2 - (1100 + 275^2) s + 550^2$

$0 = s^2 - 76725 s + 302500$

$s = \frac 1 2 (76725 \pm 1375 \sqrt{3113} )$

$s \approx 3.94285 \textrm{ or } s \approx 76721.0571$

Clearly there's no way that giant number would work; must be extraneous.

Answer: 3.94

Merry Christmas!