Q: Chris wants to hold his breath underwater for 90 straight seconds so he starts training each day. On the first day, he holds it for 10 seconds. On the second day, he holds it for 20 seconds. On the third day, he holds it for 30 seconds. After realizing that he can hold it for ten extra seconds each day, he realizes he can calculate how many days it is until he reaches 90 if he keeps up the same pace. So how many days until he can hold his breath for 90 seconds?
A: He still has to improve by 60 more seconds because 90 - 30 = 60. This will take 6 days because 60 / 10 = 6. The answer is 6.
Question: Elmer has a pond that initially contained 2400 pollywogs, but these pollywogs matured into toads and left the pond at a constant rate of 50 pollywogs per day. In addition, Elmer has a son named Melvin, who loves to catch pollywogs, remove them from the pond, and release them into a nearby stream. For the first 20 days, Melvin caught 10 pollywogs per day and released them into the stream. How many days did it take for all of the pollywogs to disappear from the pond?
Answer: For the first 20 days, the combined rate of disappearance of pollywogs from the pond is 50 + 10 = 60 pollywogs per day. During these first 20 days, the total number of pollywogs removed was 60 * 20 = 1200 pollywogs. This means after 20 days there were 2400 - 1200 = 1200 pollywogs left in the pond. At a disappearance rate of rate 50 pollywogs per day, it will take an additional 1200 / 50 = 24 days for the rest of the pollywogs to disappear from the pond. Thus, overall, it will take 20 + 24 = 44 days for all of the pollywogs to disappear from the pond. The answer is 44.
[Question]The bus driver drives an average of 2 hours each day, 5 days a week. From Monday to Wednesday he drove at an average speed of 12 kilometers per hour, and from Thursday to Friday at an average speed of 9 kilometers per hour. How many kilometers did the driver travel during these 5 days?
[Answer]From Monday to Wednesday, there are 3 * 2 = 6 hours of work. During this time the driver drove 6 * 12 = 72 kilometers. On Thursday and Friday, there are 2 * 2 = 4 hours of work in total. During this time the driver drove 4 * 9 = 36 kilometers. So in total, the driver traveled 72 + 36 = 108 kilometers during these five days. The answer is 108.
Q: In a batch of 30 apples, 1/6 are too small and 1/3 are not ripe. The others are perfect. Calculate the number of perfect apples.
A: We first calculate the proportion of all the other apples: 1 / 6 + 1 / 4 + 1 / 12 = 2 / 12 + 3 / 12 + 1 / 12 = 6 / 12. So, the proportion of perfect apples is 12 / 12 - 6 / 12 = 6 / 12 = 0.5. Thus the number of perfect apples is 0.5 * 30 = 15. The answer is 15.
Question: Jerry is writing a script for a skit with three characters. The first character has eight more lines than the second character. The third character only has two lines. The second character has six more than three times the number of lines the third character has. How many lines does the first character in Jerry’s skit script have?
Answer: The second character has 6 + 3 * 2 = 6 + 6 = 12 lines. The first character has 12 + 8 = 20 lines. The answer is 20.
Q: In one month in the Smith house, Kylie uses 3 bath towels, her 2 daughters use a total of 6 bath towels, and her husband uses a total of 3 bath towels. If the washing machine can fit 4 bath towels for one load of laundry, how many loads of laundry will the Smiths need to do to clean all of their used towels?
A:
The total number of bath towels used in one month is 3 + 6 + 3 = 12 bath towels. The number of loads of laundry the Smiths need to do is 12 / 4 = 3 loads. The answer is 3.