A very hungry young woman runs from her house to the store at an average speed of 3 m/s. she then walks back home at an average speed of 1 m/s. if the entire round trip take 10 minutes. How far is it from the woman's house to the store?

Answer: 450 metresStep-by-step explanation:First convert the 10 minutes to seconds, which is 10*60 = 600 secondsThen, we know she is 3 times faster going to the store than coming back. We can name the time as "t". Therefore:  3*t + t = 6004*t = 600t = 600/4  t = 150 secondsKnowing the time it took her to go to the store for the first trip, we can calculate the distance using the speed formula:Speed = distance / timeSo we can re-arrange the formula to find the distance:Distance = Speed* TimeTherefore, Distance = (3 m/s)*(150 s) Distance = 450 mConsidering that the distance is the same for both trips.