A jet plane traveling at 550 mph over takes a propeller plane traveling at 150 mph that had a 3 hour

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A jet plane traveling at 550 mph over takes a propeller plane traveling at 150 mph that had a 3 hours head start. How far from the starting point are the planes?

Use the formula D = rt where
  • D = distance
  • r = rate
  • t = time
The plan traveling 150 mph for 3 hours:
Time 1 = 150
Time 2 = 300
Time 3 = 450

Now at Time 3, the other plane starts
Time 4 = 600
Time 5 = 750
Time 6 =

450 + 150t = 550t

Subtract 150t
400t = 450

Divide each side by 400
t = 1.125

Plug this into either distance equation, and we get:
550(1.125) = 618.75 miles
 
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