Question 987632: A jet plane traveling at 500 mph overtakes a propeller plane traveling 150 mph that had a 5-hour head start. How far from the starting point are planes?
The Planes are ? miles from the starting point.
simplify your answer. Type an integer, fraction, or mixed number.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source):
Answer by MathTherapy(10556)  (Show Source):
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A jet plane traveling at 500 mph overtakes a propeller plane traveling 150 mph that had a 5-hour head start. How far from the starting point are planes?
The Planes are ? miles from the starting point.
simplify your answer. Type an integer, fraction, or mixed number.
Let distance to the catch-up point (distance planes have traveled) be D
When the jet caught up with the propeller plane, both had traveled the same distance
Therefore, we get: 
3D = 10D - 7,500 -------- Multiplying by LCD, 1,500
3D - 10D = - 7,500
- 7D = - 7,500
D, or distance the catch-up point is from the starting point =  , or  miles
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