[Question]Two alien spacecraft on a sightseeing tour of Earth left New Orleans airport at 3:00 pm to travel the 448-mile distance to Dallas by air. Traveling nonstop, the first spacecraft landed in Dallas at 3:30 pm, while the second spacecraft landed in Dallas thirty minutes later. Assuming both spacecraft traveled at constant speed, what was the difference in speed, in miles per hour, between the two spacecraft?
[Answer]The first spacecraft flew for 30 minutes, or 30 / 60 = 1 / 2 hour. The second spacecraft flew for 30 + 30 = 60 minutes, or 1 hour. Thus the first spacecraft traveled at a speed of 448 miles in 1 / 2 hour, or 448 / (1 / 2) = 896 miles per hour. The second spacecraft traveled 448 miles in 1 hour, or 448 / 1 = 448 miles per hour. The difference in speed, in miles per hour, between the two spacecraft was 896 - 448 = 448 miles per hour. The answer is 448.
Q: Alice and Emily are selling oranges at the farmer's market. Alice sold twice as many oranges as Emily did. In total, they sold 180 oranges. How many oranges did Alice sell?
A: Emily sold 180 / 3 = 60 oranges. Alice sold 60 * 2 = 120 oranges. The answer is 120.
Question: A vampire needs to suck 7 gallons of blood per week to survive. If he sucks 2 pints of blood per person, how many people does he need to suck each day to survive?
Answer: Each day it needs to consume 7 / 7 = 1 gallon of blood. There are 128 / 16 = 8 pints per gallon. So he needs to suck blood from 8 / 2 = 4 people per day. The answer is 4.
[Question]John is holding a poker night with his friends and is getting the decks of cards ready before his friends show up. After losing so many cards from various decks, John thinks he needs to count exactly how many cards he has to make sure he has enough full decks for the night. Each deck of cards should hold 52 cards. He finds 3 half-full decks of cards and 3 full decks of cards. As he is arranging them, he realizes that the quality of a lot of the cards is quite poor and decides to throw 34 of the cards in the trash. How many cards does John now have?
[Answer]In the full decks, John has a total of 52 cards in a full deck of cards * 3 full decks of cards = 156 cards. A half - full deck of cards contains 52 cards in a full deck of cards / 2 = 26 cards. So from the half - full decks, John has a total of 26 cards * 3 half - full decks = 78 cards. This is a total of 156 cards from full decks + 78 cards from half - full decks = 234 cards. After throwing some in the trash, he now holds a total of 234 cards - 34 trashed cards = 200 cards. The answer is 200.
Q: Jerome is taking a 150-mile bicycle trip. He wants to ride 12 miles for 12 days. How long will he ride on the 13th day to finish his goal?
A: Jerome rides a total of 12 x 12 = 144 miles in 12 days. So, he will ride 150 - 144 = 6 miles on the 13th day to finish his goal. The answer is 6.
Question: Brianna started out with a bag of 24 marbles. She lost four marbles through a hole in the bag. Then, she gave away twice as many marbles as she had lost through the hole in the bag. Finally, her dog ate half as many marbles as Brianna had lost through the hole in the bag. How many marbles did Brianna have remaining?
Answer:
Brianna gave away twice as many marbles as she had lost, or a total of 2 * 4 = 8 marbles. Her dog ate half as many marbles as Brianna had lost through the hole in the bag, or 4 / 2 = 2 marbles. If she started with 24 marbles, then the number of marbles remaining is 24 - 4 - 8 - 2 = 10 marbles. The answer is 10.