Talia took the bus from her home to the bank and then walked back to her home along the same route. the bus traveled at an average speed of 40 km/h and she walked at an average speed of 5 km/h. to determine the time, x, that it took talia to walk home, she used the equation 40(0.9 – x) = 5x.

Since the equation is already given, as well as the average speed of both the bus and her walk, we can just simply solve for x, which is the time.
40(0.9-x) = 5x
36-40x = 5x
36 = 5x + 40x
36 = 45x < divide both sides by 45 so the result would be:
x = 0.8
Therefore, it took Talia 0.8 hour to walk home or 48 minutes. Hope this is the answer that you are looking for.