Awoman keeps fit by bicycling and running every day. monday she spends hour at each activity, covering a total of 7 miles. on tuesday, she runs for 17 minutes and cycles for 40 minutes, covering a total of 12.85 miles. assuming her running and cycling speeds don't change from day to day, at what speed does she run and cycle?

The speed does he run is 3 miles/hr and her cycling speed is 18 miles/hr.

Step-by-step explanation:

Consider the provided information.

Let x mi/h represents the rate of running and y mi/h represents the rate of  cycling.

Monday she spends 1/3 hour at each activity, covering a total of 7 miles.

On Tuesday, she runs for 17 minutes and cycles for 40 minutes, covering a total of 12.85 miles.

Convert minutes to hours by dividing 60.

Substitute x = 21-y in above equation,

Substitute the value of y in

Hence, the speed does he run is 3 miles/hr and her cycling speed is 18 miles/hr.

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