Q: In a week, 450 cars drove through a toll booth. Fifty vehicles went through the toll booth on Monday and the same number of vehicles drove through the toll booth on Tuesday. On each of Wednesday and Thursday, twice the number of cars that passed through the toll booth on Monday went through the toll booth. If, for the remaining of the days of the week, an equal number of vehicles passed through the toll booth, calculate the total number of cars that passed the toll both in each of the remaining days.
A: There were 50 + 50 = 100 cars that went through the toll booth on Monday and Tuesday. On Wednesday, the number of cars that went through the toll booth is 2 * 50 = 100. The exact number of cars passed through the toll booth on Thursday as Wednesday, giving a total of 100 + 100 = 200 vehicles going through the toll booth in the two days. There were 200 + 100 = 300 cars that passed through the toll booth from Monday to Thursday. If the total number of cars passed through the toll booth in the week was 450, then 450 - 300 = 150 vehicles went through the toll booth on the remaining days. Since there were an equal number of cars in the toll booth on each of the remaining days, there were 150 / 3 = 50 cars on each day. The answer is 50.
Question: Mark is 18 years old. He has a little brother, John, who is 10 years younger. If John and Mark's parents are currently 5 times older than John, how old were they when Mark was born?
Answer: John is 8 years old because 18 - 10 = 8 years old. Their parents are currently 40 years old because 8 * 5 = 40. Therefore, they were 22 when Mark was born because 40 - 18 = 22 years old. The answer is 22.
[Question]If John travels 15 miles on a bike ride, and Jill travels 5 miles less, how many miles does Jim travel if he travels only 20% as far as Jill?
[Answer]To find how far Jim travels, we must first find out how far Jill did. To do this, we perform 15 - 5 = 10 miles in total for Jill. We then multiply 10 * .20 = 2 miles in total for Jim, since he only traveled 20% of the distance Jill did. The answer is 2.
Q: In 21 hours, a heating plant consumes 7 liters of fuel. How much does it consume in 90 hours?
A: Let x be the consumption in 90 hours. We have: 21 / 7 = 90 / x because the heating plant always consumes fuel at the same rate. Multiplying both sides by 7x, we get 21x = 90 * 7. This can be simplified to 21x = 630. So, the consumption in 90 hours is x = 630 / 21 = 30 liters. The answer is 30.
Question: Anna can read 1 page in 1 minute. Carole can read as fast as Anna but at half the speed of Brianna. How long does it take Brianna to read a 100-page book?
Answer: If Anna can read 1 page in 1 minute, then her speed is 1 / 1 = 1 page per min. If Carole can read at Anna's same speed then her speed is also 1 page per min. If Carole is only half the speed of Brianna, then that means Brianna is twice as fast as Carole, so 2 * 1 page per min = 2 pages per min. If a book is 100 pages long and Brianna can read 2 pages per minute, then it will take her 100 / 2 = 50 minutes to read the book. The answer is 50.
Q: Brian loves watching animal videos online. He watches a 4-minute video of cats. He then watches a video twice as long as the cat video involving dogs. He finishes up his video watching for the day by watching a video on gorillas that's twice as long as the previous two videos combined. How many minutes does Brian spend watching animal videos?
A:
Brian begins by watching a 4 - minute video, and since the second video is twice as long that means the second video is 4 * 2 = 8 minutes. The first two videos combined therefore for a 4 + 8 = 12 minute run time. Since the third video is twice as long as the first two videos put together, that means it is 12 * 2 = 24 minutes in length. The total length of time spent is therefore 24 + 12 = 36 minutes. The answer is 36.