Question: Tomas is hoping to run a marathon next year, which is 26.3 miles. He knows that each month he trains, he can run twice as far as the month before. If he can run 3 miles during the first month of training, how many total months before the marathon should he start training to ensure he can run far enough?
Answer: Step-by-step reasoning process: In the first month he can run 3 miles. In the second month he can run 6 miles because 3 x 2 = 6. In the third month he can run 12 miles because 6 x 2 = 12. In fourth month he can run 24 miles because 12 x 2 = 24. In fifth month he can run 48 miles because 24 x 2 = 48. He needs to start training 5 months ahead of time because 24 < 26.3 and 48>26.3.
So the answer is 5.

Question: Sandy's goal is to drink 3 liters of water in a day. She drinks 500 milliliters of water every after 2 hours. After how many hours will she be able to drink a total of 3 liters of water?
Answer: Step-by-step reasoning process: Since there are 1000 milliliters in 1 liter, then 3 liters is equal to 3 x 1000 = 3000 milliliters. She needs to drink 3000 / 500 = 6 sets of 500 milliliters of water. So, she will be able to drink a total of 3 liters after 6 sets x every 2 hours = 12 hours.
So the answer is 12.

Question: Tom goes to a combined undergrad and Ph.D. program. It takes 3 years to finish the BS and 5 years to finish the Ph.D. Tom finishes it in 3/4ths the time. How long does it take for him to finish?
Answer: Step-by-step reasoning process: The program normally takes 3 + 5 = 8 years. So he manages to finish in 8 * 3 / 4 = 6 years.
So the answer is 6.

Question: Alex is stacking his books in a pyramid. Each level of the pyramid has 80% as many books as the number of books in the previous level. If he makes four levels and the top level has 64 books, how many books are in the pyramid in total?
Answer:
Step-by-step reasoning process: The third level has 80 books because 64 / .8 = 80. The second level has 100 books because 80 / .8 = 100. The first level has 125 books because 100 / .8 = 125. In total there are 369 books because 64 + 80 + 100 + 125 = 369.
So the answer is 369.