SOLUTION: Two planes, which are 1180 miles apart, fly toward each other. Their speeds differ by 40 mph. If they pass each other in 2 hours, what is the speed of each?

Question 901876: Two planes, which are 1180 miles apart, fly toward each other. Their speeds differ by 40 mph. If they pass each other in 2 hours, what is the speed of each?
Found 2 solutions by richwmiller, lwsshak3:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
2*(x+x+40)=1180
2*(2x+40)=1180
4x+80=1180
4x=1100
x=275
x+40=315
2*(315)+2*(275)=1180
630+550=1180
ok
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Two planes, which are 1180 miles apart, fly toward each other. Their speeds differ by 40 mph. If they pass each other in 2 hours, what is the speed of each?
***
let x=speed of faster plane
let y=speed of slower plane
distance/travel time=speed
1180/2=590
speed of planes flying toward each other=sum of their indv. speeds
speed of planes flying away from each other=difference of their indv. speeds
x+y=590
x-y=40
add
2x=630
x=315
y=x-40=275
speed of faster plane=315 mph
speed of slower plane=275 mph
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