Question

Two trains leave towns 900 kilometers apart at the same time and travel toward each other. One train travels $15 \frac{km}{h}$ slower than the other. If they meet in 4 hours, what is the rate of each train? Note that the ALEKS graphing calculator can be used to make computations easier. Rate of the slower train: Rate of the faster train:

          Two trains leave towns 900 kilometers apart at the same time and travel toward each other. One train travels $15 \frac{km}{h}$ slower than the other. If they meet in 4 hours, what is the rate of each train?

Note that the ALEKS graphing calculator can be used to make computations easier.

Rate of the slower train:

Rate of the faster train:
        
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Two trains leave towns 900 kilometers apart at the same time and travel toward each other. One train travels 15 (km)/(h) slower than the other. If they meet in 4 hours, what is the rate of each train?

Note that the ALEKS graphing calculator can be used to make computations easier.

Rate of the slower train:

Rate of the faster train:

Added by Marc O.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Two trains leave towns 900 kilometers apart at the same time and travel toward each other. One train travels 15 km/h slower than the other. If they meet in 4 hours, what is the rate of each train? Rate of the slower train: ? km/h Rate of the faster train: ? km/h Note that the ALEKS graphing calculator can be used to make computations easier.
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Transcript

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00:04 Question number 40 here there are two trains are there so one is a passenger train one is a tight train so both are moving towards each other okay suppose here speed is p miles per hour here is f miles per hour and the distance between them is 400 miles and they took five hours five hours they meet each other okay so also given that the passenger train is moving at 16 miles per hour more than the freight train so you can write p minus f is equal to 60 it is equation 1 okay so as they're moving at watch each other so in one hour so the passenger train will travel p miles and flight travel f miles so both of them together are traveling p plus f miles so in 1 hour they travel p plus f miles so they travel 5 hours the 5 hours they travel 5 into p plus f miles total distance they travel in 5 hours is 400 meters 400 miles so that we can write 5 into p plus f as a distance they travel in 5 hours is equal to 400 if you divide both sides by 5, p plus f is equal to 400 by 5 is equal to 80.
02:09 So let us see what this equation.
02:14 Let us add equation 1 equation 2...
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