SOLUTION: Two freight trains, 120 miles apart, start toward each other. Each train is traveling at a rate of 40 miles per hour. A carrier pigeon on the first train flies to the second train,

Question 251676: Two freight trains, 120 miles apart, start toward each other. Each train is traveling at a rate of 40 miles per hour. A carrier pigeon on the first train flies to the second train, then flies back to the first train, and continues to fly back and forth in this way from one train to the other at a constant rate of
60 mph until the trains meet. How many miles does the pigeon fly?
a) 120 b) 110 c) 100 d) 90 e) none of these
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two freight trains, 120 miles apart, start toward each other. Each train is traveling at a rate of 40 miles per hour. A carrier pigeon on the first train flies to the second train, then flies back to the first train, and continues to fly back and forth in this way from one train to the other at a constant rate of
60 mph until the trains meet.
How many miles does the pigeon fly?
-------------------
1st: Determine the time required till the trains meet.
The closing speed is 40+40 = 80 mph
---
distance / rate = time
120/80 = 1.5 hrs
-----------------------
2nd: Determine how far the pigeon can fly in that amount of time.
Distance = rate*time
Distance = 60 mph *1.5 hrs
Distance = 90 miles (the pigeon flies 90 miles)
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a) 120 b) 110 c) 100 d) 90 e) none of these
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Cheers,
Stan H.

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