[Question]Jason has to drive home which is 120 miles away. If he drives at 60 miles per hour for 30 minutes, what speed does he have to average for the remainder of the drive to get there in exactly 1 hour 30 minutes?
[Answer]Jason drives 60 miles per hour * 0.5 hours = 30 miles initially. He needs to drive an additional 120 miles total - 30 miles driven = 90 more miles. He has 1.5 hours - 0.5 hours = 1 hour to drive the remaining distance. He must average 90 miles per hour to drive the remaining 90 miles in 1 hour. The answer is 90.
Q: Marco loves trading cards. He has a total of 500 cards on hand, and a fourth of them are duplicates. Marco decides to trade one-fifth of these duplicates for completely new cards to his friend Josh. How many new cards did Marco get?
A: Marco has 500 * 0.25 = 125 duplicate trading cards. He wants to trade off 125 * 0.2 = 25 cards for new ones. The answer is 25.
Question: Four adults with 32 teeth went to the dentist for a checkup after realizing they were having severe tooth pain. They were found to have different numbers of damaged teeth, and each person had some teeth removed. The first person had 1/4 of all his teeth removed, and the second person had 3/8 of his teeth removed, the third person had half of his teeth removed, while the last person only had 4 teeth removed. What's the total number of teeth removed at the dental clinic?
Answer: The first person had 1 / 4 of all his teeth removed, a total of 1 / 4 * 32 = 8 teeth. The second person had 3 / 8 of his teeth removed, meaning 3 / 8 * 32 = 12 of his teeth were removed. Together, the first and the second person had 12 + 8 = 20 teeth removed in total. The third person had half of his teeth removed, which were 1 / 2 * 32 = 16 teeth. The first three people had a total of 20 + 16 = 36 teeth removed from their mouth. The last person only had 4 teeth removed, bringing the total number of teeth removed at the dentist clinic to be 36 + 4 = 40 teeth. The answer is 40.
[Question]Dustin and Sam are both reading. Dustin can read 75 pages in an hour. Sam can read 24 pages in an hour. How many more pages does Dustin read in 40 minutes compared to Sam?
[Answer]Dustin reads 1.25 pages a minute because 75 / 60 = 1.25. Dustin reads 50 pages in 40 minutes because 40 x 1.25 = 50. Sam reads .4 pages a minute because 24 / 60 = .4. Sam reads 16 pages in 40 minutes because 40 x .4 = 16. Dustin reads 34 more pages than Sam because 50 - 16 = 34. The answer is 34.
Q: Sara got her first paycheck of two weeks of work. She had worked 40 hours a week at $11.50 per hour. The first thing she did was buy a new set of tires for her car for $410. How much money was she left with?
A: Sara worked 40 * 2 = 80 hours over two weeks. She earned 11.50 * 80 = $920. After buying new tires, she had $920 - 410 = $510 left. The answer is 510.
Question: Derrick measures the length of his yard. The length of Alex's yard is half the size of Derrick's and the length of Brianne's yard is 6 times the size of Alex's. If Brianne's yard is 30 yards long, how long is Derrick's yard, in yards?
Answer:
The length of Alex's yard is 30 / 6 = 5 yards. The length of Derrick's yard is 5 * 2 = 10 yards. The answer is 10.