[Question]If farmer Steven can use his tractor to plow up to 10 acres of farmland per day, or use the same tractor to mow up to 12 acres of grassland per day, how long would it take him to plow his 55 acres of farmland and mow his 30 acres of grassland?
[Answer]At a rate of 10 acres per day, he can plow his 55 acres of farmland in 55 / 10 = 5.5 days. At a rate of 12 acres per day, he can mow his 30 acres of grassland in 30 / 12 = 2.5 days. Altogether, it would take him 5.5 + 2.5 = 8 days to completely mow and plow his land. The answer is 8.
Q: Joseph wants to go to Boston for a road trip. If he takes route A, it will take him 5 hours to arrive; but if he takes route B, it will only take him 2 hours to arrive at his destination. How much time will he save if he takes route B to Boston and back to his home?
A: He will spend 5 x 2 = 10 hours if he takes route A. Meanwhile, he will spend 2 x 2 = 4 hours if he takes route B. Therefore, Joseph can save 10 - 4 = 6 hours if he takes route B both ways. The answer is 6.
Question: Mason has 3 cartons of 200 blueberries. He makes as many muffins as he can with 10 blueberries per muffin. Then he makes 60 cinnamon muffins. What percentage of all the muffins he made have blueberries?
Answer: First find the total number of blueberries Mason has: 200 blueberries / carton * 3 cartons = 600 blueberries. Then divide the total number of blueberries by the number of blueberries per muffin: 600 blueberries / 10 blueberries / muffin = 60 muffins. Then add that number of muffins to the number of cinnamon muffins to find the total number of muffins: 60 muffins + 60 muffins = 120 muffins. Then divide the number of blueberry muffins by the total number of muffins and multiply by 100% to express the answer as a percentage: 60 muffins / 120 muffins * 100% = 50%. The answer is 50.
[Question]Jolene and Phil have four children, each with the same birthday. They gave birth to their first child exactly 15 years ago. They gave birth to their second child exactly one year after the birth of their first child. They gave birth to their third child on the fourth birthday of their second child. Two years after the birth of their third child, they gave birth to their fourth child. How old, in years, is their fourth child?
[Answer]Their 1st child was born 15 years ago, and therefore is 15 years old. Their 2nd child was born 1 year after their 15 - year - old child, and therefore is 15 - 1 = 14 years old. Their 3rd child was born 4 years after their 14 - year - old child, and therefore is 14 - 4 = 10 years old. Their 4th child was born 2 years after their 10 - year - old child, and therefore is 10 - 2 = 8 years old. The answer is 8.
Q: Barney washes his kitchen towels once a week. He owns eighteen towels and uses two at a time that he changes to clean towels daily. He missed one week of laundry. How many days the following week will Barney not have clean towels?
A: Barney uses 2 clean towels every day, so he uses 2 * 7 = 14 towels a week. He missed one week of laundry, so he would need 2 * 14 = 28 towels for 2 weeks. He owns 18 towels, so he has 28 - 18 = 10 less than he needs. Thus, Barney will not have clean towels on 10 / 2 = 5 days. The answer is 5.
Question: The area of square A is 25. The area of square B is 81. What's the length difference between the sides of square A and B?
Answer:
The area of a square is calculated as length * width. Because all a square has all sides equal then we can say that given a side S, the area is S * S. For square A of sides A, the area is A * A = 25 or A^2 = 25. Solving for A we know that A = 5. For square B of sides B, the area is B * B = 81 or B^2 = 81. Solving for B we know that B = 9. The side difference between A and B is 9 - 5 = 4. The answer is 4.