Ms. Handler walks to work at an average speed of 5 km per hour. if she increases her speed to 6 kilometers per hour she will save 10 minutes.Find the distance she walks

Answer:The distance she walks is 5 kmStep-by-step explanation:Letx -----> the distance in kilometersy ----> the time in hourswe know that the speed is equal to divide the distance by the timeAverage speed of 5 km/h[tex]5=\frac{x}{y}[/tex][tex]y=\frac{x}{5}[/tex] -----> equation AAverage speed of 6 km/hconvert 10 minutes to hours[tex]10\ min=10/60=1/6\ h[/tex][tex]6=\frac{x}{y-\frac{1}{6}}[/tex] ----> equation BSolve the system by graphingThe solution is the intersection point both graphsThe solution is the point (5,1)see the attached figurethereforeThe distance she walks is 5 kmVerifyAverage speed of 5 km/h[tex]y=\frac{5}{5}=1\ h=(1)*60=60\ min[/tex]Average speed of 6 km/h[tex]y=\frac{5}{6}\ h=\frac{5}{6}*60=50\ min[/tex]The difference is the time she will save[tex]60\ min-50\ min=10\ min[/tex] ----> is correct