SOLUTION: Space Shuttle 2 takes off 0.5 hour after Shuttle 1 and overtakes Shuttle 1 exactly 5 hours after Shuttle 2 takes off, find a)the speed of Shuttle 1 and b)the distance from the

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Question 726152: Space Shuttle 2 takes off 0.5 hour after Shuttle 1 and overtakes Shuttle 1 exactly 5 hours after Shuttle 2 takes off, find
a)the speed of Shuttle 1 and
b)the distance from the launch pad when shuttle 2 overtakes Shuttle 1
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!

D=RT
D=(R+300)5 SHUTTLE #2'
D=R(5+.5)
(R+300)5=R(5+.5)
5R+1500=R*5.5
5R+1500=5.5R
5R-5.5R=-1500
.5R=-1500
R=-1500/-.5
R=3000 MPH IS THE SPEED OF SHUTTLE #1.
D=3300*5
3000+300=3300 MPH FOR THE SPEED OF SHUTTLE #2.
D=16,500 MILE THEY WILL MEET.
PROOF:
16,500=3000*5.5
16,500=16,500