John bikes 22km per hour and starts at mile 10. Gwynn bikes 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?

Question

Mathematics

Rowdy

19 February, 23:40

John bikes 22km per hour and starts at mile 10. Gwynn bikes 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?

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Answers (1)

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Kyle Maynard · Answer 1

If j is the distance in km John reaches after time t hours, and g is the same for Gwynn, the equations are

j=10+22t and g=28t.

If x is the distance at which they meet the equations form a system from which t, when they meet, can be calculated: 10+22t=28t, 6t=10, t=5/3=1 hour 40 minutes. And they meet at 28*5/3=10+22*5/3=46.67km.