[Question]Erik's dog can run 24 miles per hour. It is chasing a rabbit that can run 15 miles per hour. The rabbit has a head start of .6 miles. How many minutes does it take for the dog to catch up to the rabbit?
[Answer]The dog runs .4 miles per minute because 24 / 60 = .4. The rabbit runs .25 miles per minute because 15 / 60 = .25. We know that .4(Number of Minutes) = .25(Number of Minutes) + .6. Therefore .15(Number of Minutes) = .6. Therefore (Number of Minutes) = 4. The answer is 4.
Q: Biff is getting ready for a long bus trip. He spends $11 on the ticket, $3 on drinks and snacks, and $16 on a new pair of headphones to listen to music. Biff plans to do online tasks using the bus's WiFi during his trip. If Biff makes $12/hour working online and has to pay $2/hour to access the bus's WiFi, how many hours long will the bus ride need to be for him to break even?
A: First calculate how much money Biff spent getting ready for the trip: $11 + $3 + $16 = $30. Now calculate Bill's net income per hour after he pays for WiFi by subtracting the WiFi cost from his gross hourly rate: $12 / hr - $2 / hr = $10 / hr. Finally, divide the money Bill spent by his net hourly rate to find out how many hours he has to work to break even: $30 / $10 / hr = 3 hours. The answer is 3.
Question: Eliza can iron a blouse in 15 minutes and a dress in 20 minutes. If she spends 2 hours ironing blouses and 3 hours ironing dresses, how many pieces of clothes did she iron?
Answer: Since 60 minutes equal 1 hour, in 2 hours, Eliza ironed blouses for 2 x 60 = 120 minutes. Eliza can iron 120 / 15 = 8 blouses. Since 60 minutes equal 1 hour, in 3 hours, Eliza ironed dresses for 3 x 60 = 180 minutes. Eliza can iron 180 / 20 = 9 dresses. In total, Eliza ironed 8 + 9 = 17 pieces of clothes. The answer is 17.
[Question]Violet has 3 more than twice as many nails as Tickletoe. If Violet has 27 nails, how many nails do they have together?
[Answer]Violet has 27 - 3 = 24 nails, twice the number of nails that Tickletoe has. Therefore, Tickletoe has 1 / 2 * 24 = 12 nails. Together, Tickletoe and Violet have 12 + 27 = 39 nails. The answer is 39.
Q: Out of the 200 apples in an orchard, 40 percent were rotten. Also, 70 percent of the rotten apples smelled. How many rotten apples in the orchard did not smell?
A: The number of apples in the orchard which were rotten is 40 / 100 * 200 = 80. Out of the 80 rotten apples, 70 / 100 * 80 = 56 were smelling. The number of rotten apples in the orchard which were not smelling is 80 - 56 = 24. The answer is 24.
Question: Gus eats 2 eggs-omelet for breakfast. He has an egg salad sandwich made with 3 eggs for lunch. He then has an egg drop soup made with 1 egg for dinner. How many eggs did Gus eat altogether?
Answer:
Gus eats 2 + 3 = 5 eggs for breakfast and lunch. Including dinner, he eats a total of 5 + 1 = 6 eggs. The answer is 6.