Math  /  Algebra

QuestionCL 3-113. Two brothers, Martin and Horace, are in their backyard. Horace is taking down a brick wall on one side of the yard while Martin is building a brick wall on the other side. Martin lays 2 bricks every minute. Meanwhile, Horace takes down 3 bricks each minute from his wall. They both start working at the same time. It takes Horace 55 minutes to finish tearing down his wall. a. How many bricks were originally in the wall that Horace started tearing down? b. Represent this situation with equations, tables, and a graph. c. When did the two walls have the same number of bricks?

Studdy Solution
Determine when the two walls have the same number of bricks.
Set the equations equal to each other:
2t=1653t 2t = 165 - 3t
Solve for t t :
2t+3t=165 2t + 3t = 165 5t=165 5t = 165 t=1655 t = \frac{165}{5} t=33 t = 33
The two walls have the same number of bricks at t=33 t = 33 minutes.

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