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 Question from kiss, a student: Hank bicycles 5 km/h slower than Kelly. In the time that it takes Hank to bicycle 42 km, Kelly can bicycle 57 km. How fast does each bicyclist travel?

Hi,

Suppose Hank bicycles at $H$ km/h. What is Kelly's speed?

The key to this problem is that

$\mbox{distance} = \mbox{ time } \times \mbox{ rate.}$

Use the equation above to write an equation for the time it takes Hank to bicycle 42 km.

Use the equation above to write an equation for the time it takes Kelly to bicycle 57 km.

These two times are the same. Solve for $H.$

Penny

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