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.
[Question]James has 28 marbles. He puts them into 4 bags. He puts the same number in each bag. He then gives one bag away. How many marbles does James have left?
[Answer]James has 28 marbles / 4 bags = 7 marbles per bag. James has 28 marbles - 7 marbles = 21 marbles remaining. The answer is 21.
Q: John is a hack author. He writes a book every 2 months. He has been writing for 20 years and has earned an average of $30,000 per book. How much money has he made writing?
A: He writes 12 / 2 = 6 books a year. That means he has written 6 * 20 = 120 books. So he has made 120 * 30,000 = $3,600,000 from writing. The answer is 3600000.
Question: Tamara is 3 times Kim's height less 4 inches. Tamara and Kim have a combined height of 92 inches. How many inches tall is Tamara?
Answer: Let K = Kim's height. Tamara = 3K - 4. K + 3K - 4 = 92. 4K - 4 = 92. 4K = 96. Kim = 24 inches. Tamara = (3 * 24) - 4 = 68 inches. Tamara is 68 inches tall. The answer is 68.
[Question]Stella and Twinkle are filling up a truck with a capacity of 6000 stone blocks at the rate of 250 blocks per hour per person. They work for four hours and are then joined by 6 other people who also work at the same rate. How many hours did filling the truck take?
[Answer]Stella and Twinkle filled up the truck at the rate of 250 blocks per hour per person, a total of 2 * 250 = 500 blocks per hour for both. After working for four hours, Stella and Twinkle had filled 4 * 500 = 2000 blocks into the truck. The number of blocks they had to put into the truck for it to be full is 6000 - 2000 = 4000. When 6 more people joined Stella and Twinkle, a total of 2 + 6 = 8 people were filling the truck now. Working at the rate of 250 blocks per person, the eight people filled the truck with 250 * 8 = 2000 blocks in one hour. If there were 4000 blocks that still needed to be put into the truck, the 8 people took 4000 / 2000 = 2 hours to fill the truck with the blocks. The total time it took to fill up the tank is 4 + 2 = 6 hours. The answer is 6.
[Question]In a field of 500 clovers, 20% have four leaves and one quarter of these are purple clovers. Assuming these proportions are exactly correct, how many clovers in the field are both purple and four-leaved?
[Answer]
There are 500 / 5 = 100 four leaf clovers. There are 100 / 4 = 25 purple four leaf clovers. The answer is 25.