SOLUTION: two cyclists who are 15 km apart start at the same time traveling the same direction. after 6 hours the faster one overtakes the slower one. if they had traveled toward each other,

Question 932070: two cyclists who are 15 km apart start at the same time traveling the same direction. after 6 hours the faster one overtakes the slower one. if they had traveled toward each other, they would have met after 2 hrs. What is the rate of each cyclist?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = speed of faster biker
y = speed of slower biker
---
s = d/t
---
relative speed of the bikers traveling in the same direction:
x - y = 15/6
x - y = 2.5 kph
---
relative speed of the bikers traveling towards each other:
x + y = 15/2
x + y = 7.5 kph
---
put the system of linear equations into standard form
---
x - y = 2.5
x + y = 7.5
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = speed of faster biker = 5 kph
y = speed of slower biker = 2.5 kph
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
RELATED QUESTIONS
two cyclists start at the same point and travel in opposite directions. one cyclist... (answered by josgarithmetic)

Two cyclists start at the same point and travel in opposite directions. one cyclist... (answered by josgarithmetic)

two cyclists start at the same point and travel in opposite directions. one cyclists... (answered by addingup)

Two cars start at the same place and time and travel in opposite directions. One car is (answered by stanbon,solver91311)

Two cyclists start at the same point and travel in opposite directions. One cyclist... (answered by math_tutor2020,Theo,Alan3354)

Two cyclists are traveling in the same direction on the same bike path. One travels at 20 (answered by richwmiller)

Two cyclists begin traveling in the same direction on the same bike path. One travels... (answered by checkley77)

two cars start at the same place and time, and travel in opposite directions. One car is... (answered by rfer)

two cyclists, 90 km apart, start riding toward each other at the same time. one cycles... (answered by checkley75)