[Question]Peter is raking leaves. It takes him 15 minutes to rake 3 bags of leaves. If he keeps raking at the same rate, how long will it take him to rake 8 bags?
[Answer]We are trying to figure out how long it will take Peter to rake 8 bags of leaves, so we'll call that Y. And we know Peter can rake 3 bags of leaves / 15 minutes = 8 bags of leaves / Y. Next, we will multiply to find the cross - products. 3 x Y = 15 x 8 or 3Y = 120. We want to get figure out Y, so we need to get it by itself by dividing by 3, like this: 3Y / 3 = 120 / 3 or Y = 40 minutes. The answer is 40.
Q: Buffy has a sailboat with a planing hull that she sails in the Gulf of Mexico. Under optimal wind conditions, the use of two sails brings the ship to the speed of 50 knots, whereas under the same conditions, the use of one sail brings her ship to the speed of 25 knots. A knot is a nautical term for speed equal to 1 nautical mile per hour, and one nautical mile equals 1.15 land miles. If she travels in her sailboat under optimal wind conditions for 4 hours with one sail and then for another 4 hours with two sails, what is the total distance, in land miles, that she will travel?
A: Under optimal wind conditions, if her ship sails 4 hours with 1 sail, she will travel 4 * 25 = 100 nautical miles. Under optimal wind conditions, if her ship sails 4 hours with 2 sails, she will travel 4 * 50 = 200 nautical miles. In total, she will travel 100 + 200 = 300 nautical miles. If 1 nautical mile is equivalent to 1.15 land miles, then Buffy will travel 300 * 1.15 = 345 land miles. The answer is 345.
Question: Katy, Wendi, and Carrie went to a bread-making party. Katy brought three 5-pound bags of flour. Wendi brought twice as much flour as Katy, but Carrie brought 5 pounds less than the amount of flour Wendi brought. How much more flour, in ounces, did Carrie bring than Katy?
Answer: Katy's three 5 - pound bags of flour weigh 3 * 5 = 15 pounds. Wendi brought twice as much flour as Katy, or 15 * 2 = 30 pounds of flour. Carrie brought 5 pounds less flour than Wendi, or 30 - 5 = 25 pounds of flour. Thus, Carrie brought 25 - 15 = 10 pounds of flour more than Katy. In ounces, the 10 pound difference is 10 * 16 = 160 ounces. The answer is 160.
[Question]Eric, Ben, and Jack have some money. Eric has $10 less than Ben, and Ben has $9 less than Jack. If Jack has $26, how much money, in dollars, do all 3 of them have in total?
[Answer]Ben has 26 - 9 = 17 dollars. Eric has 17 - 10 = 7 dollars. They have 26 + 17 + 7 = 50 dollars in total. The answer is 50.
Q: Los Angeles has 6 million people living in it. If half the population is women and 1/3 of the women work in retail, how many women work in retail in Los Angeles?
A: There are 3 million women in Los Angeles because 6,000,000 / 2 = 3,000,000. 1,000,000 women work in retail because 3,000,000 x (1 / 3) = 1,000,000. The answer is 1000000.
Question: Pete walks backwards three times faster than Susan walks forwards, and Tracy does one-handed cartwheels twice as fast as Susan walks forwards. But Pete can walk on his hands only one quarter the speed that Tracy can do cartwheels. If Pete walks on his hands at 2 miles per hour, how fast can Pete walk backwards, in miles per hour?
Answer:
If Pete walks on hands at 1 / 4 what Tracy can do 1 - handed cartwheels, then Tracy can do 1 - handed cartwheels at 2 * 4 = 8 miles per hour. Since Tracy does 1 - handed cartwheels twice the rate of Susan's forward walking, then Susan walks at 8 / 2 = 4 miles per hour. Pete walks backwards 3x faster than Susan walks forward, and thus Pete walks backwards at 4 * 3 = 12 miles per hour. The answer is 12.