SOLUTION: a pyrotechnician plans for two fireworks to explode together at the same height in the air. they travels at speeds shown at the right. firework b is launched 0.25 s before firework

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: a pyrotechnician plans for two fireworks to explode together at the same height in the air. they travels at speeds shown at the right. firework b is launched 0.25 s before firework      Log On


   

Question 1012234: a pyrotechnician plans for two fireworks to explode together at the same height in the air. they travels at speeds shown at the right. firework b is launched 0.25 s before firework a. how many seconds after firework b launches will both fireworks explode
Firework A 220 ft/s
Firework B 200 ft/s
Answer by ValorousDawn(53) About Me  (Show Source):
You can put this solution on YOUR website!
By the time firework a has been launched, firework b has already been launched for 0.25 seconds, so if we treat the two as equations, then
a=220%28t%29
b=200%28t%29%2B200%280.25%29
And we want to know when these two equal eachother, as that's they will both detonate.
220t=200t%2B200%280.25%29
20t=50
t=2.5