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Two cyclists, 50 miles apart, start riding toward each other at the same time. One cycles 4 times as fast as the other, and they meet after 2 hours of riding. a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r r to represent the speed of the slower cyclist?

Respuesta :

Answer:speed of slower cyclist is 5 mph

Explanation:

Given

Distance between two cyclist is 50 miles

One cycle is 4 times fast as other

Speed of slower cyclist is r miles per hour

speed of faster cyclist is 4 r

they meet after t=2 hr

Distance traveled by fast cyclist is [tex]x=2\times 4r[/tex]

Distance traveled by slower cyclist is [tex]y=2\times r[/tex]

[tex]x+y=50[/tex]

[tex]2\times 4r+2\times r=50[/tex]

[tex]8r+2r=50[/tex]

[tex]10r=50[/tex]

[tex]r=5 mph[/tex]

[tex]4 r=20 mph[/tex]

speed of slower cyclist is 5 miles per hour

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