How Long Until Joggers Heading Opposite Directions Meet?

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Arnold is jogging west at 5 kph, while Ivan is jogging east at 3.75 kph, starting 0.5 km apart. To determine when they will meet, the combined speed of both joggers is 8.75 kph. By calculating the time it takes to cover the 0.5 km distance at this combined speed, they will meet in approximately 0.057 hours, or about 3.43 minutes. The discussion also humorously notes that if they were running away from each other, they would eventually meet by going around the Earth. The key takeaway is that they will meet despite initially running in opposite directions.
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Arnold is jogging west at 5 kph along a trail. Ivan is jogging east on the same trail at 3.75 kph.If they are 0.5 km apart, how long will it be until they meet?


Help Pleaseeeeeeeeeeee! I need it now. Thank you!
 
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They will never meet, as they are running away from each other.
 
They WILL meet if they are initially facing each other!
 
nekorie said:
Arnold is jogging west at 5 kph along a trail. Ivan is jogging east on the same trail at 3.75 kph.If they are 0.5 km apart, how long will it be until they meet?


Help Pleaseeeeeeeeeeee! I need it now. Thank you!
If Arnold moves at 5 kph, after t hours, How many km will he have gone? If Ivan moves at 3.75 kph, after t hours, how many km will he have gone? For what t will the total distance they go be 0.5 km?
 
grzz said:
They WILL meet if they are initially facing each other!
I think CompuChip was being facetious in his/her post.
 
Later on ... I said to myself ...even if they were not facing each other, they would ... eventually meet (after going round the Earth!)
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
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