Question: Tony exercises every morning by walking 3 miles carrying a 25-pound backpack, then he runs another 10 miles without the backpack. If he walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour, how many hours each week does he spend exercising?
Answer: Tony walks 3 miles at 3 miles per hour for 3 / 3 = 1 hour. Tony also runs 10 miles at 5 miles per hour for 10 / 5 = 2 hours. Thus, each day he exercises for 1 + 2 = 3 hours. Over the course of one week, he exercises for 3 * 7 = 21 hours. The answer is 21.
[Question]The price per organic egg is 50 cents. The price of a tray of eggs that contains 30 eggs is $12. How much can you save, in cents, per egg if you buy a tray versus individual eggs?
[Answer]The price per egg in a tray is $12 / 30 eggs = $0.4 / egg. The equivalent of $0.4 in cents is $0.4 x 100 cents / dollar = 40 cents. Hence, you can save 50 cents - 40 cents = 10 cents per egg if you buy a tray. The answer is 10.
Q: A computer factory produces 1500 computers per day. They sell each computer for $150. If they sold 1 week's worth of production, how much money will the company earn?
A: One week has 7 days. The number of computers produced in 1 week is 1500 * 7 = 10500 computers. The total amount earned selling 1 week of production is 10500 * 150 = $1575000. The answer is 1575000.
Question: In a single day, it rained for many hours. From 2pm to 4pm, it rained at a rate of 4 inches per hour. From 4pm to 7pm, it rained at a rate of 3 inches per hour. And from 7pm to 9pm, it rained at a rate of 0.5 inches per hour. If the rain gauge started out the day already containing 2 inches of rainwater, how many inches of water will the gauge contain at 9pm?
Answer: From 2pm to 4pm is 4 - 2 = 2 hours. Thus, from 2 - 4pm, raining at 4 inches per hour, it added 8 inches to the rain gauge. From 4pm to 7pm is 7 - 4 = 3 hours. Thus, from 4 - 7pm, raining at a rate of 3 inches per hour, it added 3 * 3 = 9 inches to the rain gauge. From 7pm to 9pm is 9 - 7 = 2 hours. Thus, from 7 - 9pm, raining at a rate of 0.5 inches per hour, it added 2 * 0.5 = 1 inch to the gauge. If the gauge originally contained 2 inches of water, by 9pm the gauge contained 2 + 8 + 9 + 1 = 20 inches of water. The answer is 20.
[Question]Tina buys 3 12-packs of soda for a party. Including Tina, 6 people are at the party. Half of the people at the party have 3 sodas each, 2 of the people have 4 and 1 person has 5. How many sodas are left over when the party is over?
[Answer]Tina buys 3 12 - packs of soda, for 3 * 12 = 36 sodas. 6 people attend the party, so half of them is 6 / 2 = 3 people. Each of those people drinks 3 sodas, so they drink 3 * 3 = 9 sodas. Two people drink 4 sodas, which means they drink 2 * 4 = 8 sodas. With one person drinking 5, that brings the total drank to 5 + 9 + 8 = 22 sodas. As Tina started off with 36 sodas, that means there are 36 - 22 = 14 sodas left. The answer is 14.
[Question]Chandra is going on a monster hunt. After a big storm, there have been lost monsters all around the castle grounds for the last 5 days. Chandra wants to rope them all up and return them to the swamps where they will be the most comfortable. On the first day she saw 2 monsters near the castle walls. Every day after that she saw double the amount as the day before. After 5 days how many monsters does she need to lead back to the swamps?
[Answer]
On the first day Chandra saw 2 monsters and on day 2 she saw twice that amount, 2 x 2 = 4 monsters seen on day 2. On day 3 she saw double that amount of monsters, 4 x 2 = 8. On day 4 she saw double that amount of monsters, 8 x 2 = 16. On day 5 she saw double that amount of monsters, 16 x 2 = 32. Altogether Chandra saw 2 + 4 + 8 + 16 + 32 lost monsters = 62 total lost monsters that Chandra needs to lead back to the swamps. The answer is 62.