Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store?
Accepted Solution
A:
Answer:6 milesStep-by-step explanation:GivensGoing to the storer = 30 mphd = ??t = tComing Backr = 20 mphd = ??t = 0.5 - t Formulad = r * tSolutionSince the distance going there and coming back are the same, they can be equated.30*t = 20*(0.5 - t)30t = 20*0.5 - 20 t Add 20 t to both sides. Combine line terms30t + 20t = 10 Combine the results of the last step.50t = 10 Divide by 50t = 10/50 t = 0.2 hourSo the time taken to go there is 0.2 of an hour.Distance.d = r*td = 30 * 0.2d = 6 miles Answer