Question: When it rains, the three holes in the garage roof leak water at different rates. The largest hole leaks at a rate of 3 ounces of water per minute. The medium-sized hole leaks water at one-half the rate of the largest hole. And the smallest hole leaks water at a rate of one-third the rate of the medium-sized hole. When it rains, what is the combined amount of water, in ounces, that leak from all three holes over a 2-hour time period?
Answer: The medium - sized hole leaks at a rate of one - half that of the largest hole, or 3 / 2 = 1.5 ounces per minute. The small - sized hole leaks at a rate of one - third that of the medium - sized hole, or 1.5 / 3 = 0.5 ounces per minute. Combined, the three holes leak at a rate of 3 + 1.5 + 0.5 = 5 ounces per minute. Since one hour is 60 minutes, two hours is 2 * 60 = 120 minutes. In total, over the two hours, the three holes will leak a combined 120 * 5 = 600 ounces of water. The answer is 600.
[Question]John builds a model rocket that can travel 500 ft in the air. He builds a second rocket that can travel twice as high. What is the combined height of the two rockets?
[Answer]The second rocket goes 500 * 2 = 1000 feet. So the total height is 500 + 1000 = 1500 feet. The answer is 1500.
Q: To let Ruth know how long her fish will live, her father tells her that well-cared fish can live 2 years longer than dogs live. On average, dogs live 4 times as long as hamsters live. And hamsters live an average of 2.5 years. How long can a fish live?
A: Knowing that dogs live 4 times the age of hamsters, dogs live 4 * 2.5 = 10 years. If Ruth takes care of the fish, it can live 10 + 2 = 12 years. The answer is 12.
Question: John works a job that offers performance bonuses. He makes $80 a day and works for 8 hours. He has the option of working hard to earn the performance bonus of an extra $20 a day, but the extra effort results in a 2-hour longer workday. How much does John make per hour if he decides to earn the bonus?
Answer: First, we need to determine the length of John's workday if he decides to earn the bonus. We do this by performing 8 + 2 = 10 hours for his workday. Next, we need to determine his overall pay. We do this by performing 80 + 20 = 100 dollars a day. We then determine John's hourly rate by dividing his pay by the number of hours worked, performing 100 / 10 = 10 dollars an hour. The answer is 10.
[Question]Federal guidelines recommend eating at least 2 cups of vegetables per day. From breakfast on Sunday to the end of the day on Thursday, Sarah has eaten 8 cups. How many cups per day does Sarah need to eat of her vegetables in order to meet her daily minimum requirement for the week?
[Answer]There are 7 days in a week and 2 cups are recommended per day, bringing the total to 7 days * 2 cups / day = 14 cups for the week. Out of the 14 total cups needed for the week, Sarah has already eaten 8, for a total of 14 cups - 8 cups = 6 cups left to consume for the week. Sunday through Thursday equals 5 days that have passed. If there are 7 days in the week then Sarah has 7 days - 5 days = 2 days left of the week. If she needs to eat 6 more cups in the next 2 days then she will have to eat 6 cups / 2 days = 3 cups per day over the next two days. The answer is 3.
[Question]Frank goes to the store to buy some food. He buys 5 chocolate bars and 2 bags of chips. He hands the cashier $20 and gets $4 back as change. If the chocolate bars each cost $2, how much did each bag of chips cost?
[Answer]
His entire purchase cost $20 - $4 = $16. The chocolate bars cost 5 * $2 = $10. The bags of chips cost a total of $16 - $10 = $6. Each bag of chips cost $6 / 2 = $3. The answer is 3.