Oaa Assessment Maths Test

[Persephone]

S=Distance
V=Speed
T=Time
d = Delta
. = Multiply

Your looking for Speed and distance covered.

You have V1/2 & T1/2


V1 = S1 V2 = S2
---- ----
T1 T2

T2 = T1 – dT (Delta Time = 45 mins)

S1 = S2

V1 = S1 V2 = S1
---- -------------
T1 T1 – dT

S1 = V1 . T1 S1 = V2 (T1 – dT)

V1 . Tn = V2 . T1 – V2 . dT

V1 T 1 – V2 T 1 = - V2 dT

Tn (V1 – V2) = - V2 dT

T1 = - V2 . dT -230.075 172.5
---------- ------------ -------
V1 – V2 170 – 230 60 = 2.875

= 2 h 52.5 min

10 AM + 2 h 52.5 mins = 12.52.5pm


V1 . T1 170 X 2.875 = 488.75 nm


QED Time they meet 12.52.5pm and Distance they have travelled is 488.75nm exactly.
I should have said nautical miles in my original posting.

It took me a while to type this out as I worked it out on paper. I also used a calculator, for shame, for shame.