Mary left the place called Apton and rode towards the place Brandon at the same speed for 2 hours. She reached the sign shown below. Mary continues to ride at the same speed towards Brandon. How many hours will it take for her to ride from the sign to Brandon?

Time taken by Mary to get to Brandon = 3 hours

Note: The complete question is found in the attachment below

Step-by-step explanation:

Step 1: Determining the average speed of Mary

At the sign, it shows that Mary has travelled 30 km from Apton in 2 hours to get to the sign.

Therefore, the average speed of Mary is given by;

average speed = total distance/time taken

average speed = 30 km/ 2 hours = 15 km/hr

Step 2: determining the time taken to get to Brandon

Also, from the sign, it can be seen that Brandon is still 45 km ahead. Since Mary continues at the same speed, the time taken will be;

time taken = total distance/average speed

time taken = 45 km/ 15 km/hr

time taken = 3 hours