Liam arrived at his grandmother’s house 2 hours after he started. Hence, the total distance Liam travel by taxi is: 10 mi.
<h3>How to calculate the distance with the concept of linear equation in two variables?</h3>
With the linear equation in two variables concept, we can state that the total time taken by Liam to reach his grandmother’s house is:
t1 + t2 = total hours needed
t1 + t2 = 2 hours ---> (equation 1)
Meanwhile, his initial location is 15 miles away from his grandmother’s house. We know that distance = speed x time. ---> (equation 2)
Therefore, from both equations above, the total distance could be stated as:
Total distance = (3 x t1) + (30 x t2)
By solving that equation, we get t1 = 5/3 hour and t2 = 1/3 hour.
Hence, the distance Liam travel by taxi is:
Total distance = 30 x t2
Total distance = 30 x 1/3
Total distance = 10 mi.
Learn more about speed and distance here brainly.com/question/26046491
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