A straight road connects the towns of Winridge and Upper Lansbury are (6,10). If Ty drives from Winridge to Upper Lansbury at an average speed of 40 miles per hour, will the trip take more than an hour? Explain

Answer:The trip will take more than one hour Step-by-step explanation:The complete question isA straight road connects the towns of Winridge and Upper Lansbury. On a map on which each unit represents 10 miles, the coordinates of Winridge are (8,4) and the coordinates of Upper Lansbury are (6,10). If Ty drives from Winridge to Upper Lansbyet at an average speed of 40 miles per hour, will the trip take more than an hour? Explain your reasoningwe know thatThe speed is equal to divide the distance by the timesos=d/tSolve for tt=d/s ----> the time is equal to divide the distance by the speedstep 1Find the distancethe formula to calculate the distance between two points is equal to[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]we have(8,4), (6,10)substitute[tex]d=\sqrt{(10-4)^{2}+(6-8)^{2}}[/tex][tex]d=\sqrt{(6)^{2}+(-2)^{2}}[/tex][tex]d=\sqrt{40}[/tex][tex]d=2\sqrt{10}\ units[/tex]Convert to miles[tex]d=2\sqrt{10}*10=20\sqrt{10}\ miles[/tex][tex]d=63.2\ miles[/tex]step 2Find the timewe have s=40 miles/hourd=63.2 milest=d/s -----> t=63.2/40=1.58 hours1.58 hours > 1 hourthereforeThe trip will take more than one hour