TJ Prep Problems

TJ test prep practice problems  for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.

A Word Problem for TJ/AOS/SHSAT Prep (Medium). Target Time. 25-40 seconds.

Michael has a cat and a dog. His cat runs at 40 ft/minute and his dog runs at 20 ft/minute. There is a tree house exactly 100 ft from Michael's house. If the cat and dog start at the same time to go to the tree house and immediately head back to Michael's house. At what time after they start and how far from the house will the dog ad cat meet?