Typically these motion problems are used with a formula to calculate rate and time,
d=rt
You want to assign each plane its own little table to make things easier
plane 1 lets call it plane F for faster
and plane 2 let us call it S for slower
remember to define x as the time they will both be 1400 miles apart.
F - we are looking for the time so that is our variable x
F - we know the rate is 600mph
S - we are looking for the time so that is our variable x
S - lets assume this is a bigger plane that flies slower at 450mph
d=rt
F =600⋅x
S =450⋅x
so now that we have rate and distance we can calculate the time.
600x+450x=1400 (the amount they will be apart) and the equation to solve for the x (time)
1050x=1400
now its as simple as solving for x
1050x1050=14001050
simplify
x=43 convert to a mixed fraction because we need the time.
113 what is 13 of an hour 13* 2020=2060 so.. 20 minutes and an hour.
the planes will be 1400 miles apart at 1:20 pm
how long will they be apart at 1400 miles has become much easier because we have our time x figured out as 43
600(x) or 600(43) = 800
450(x) or 450(43) = 600
this makes sense because if we add them together we get the distance 1400 our original distance. Hope this helps.
