Q: The coach of a football team asked his players to do six laps of the field. The field is in the shape of a rectangle of length 100 m and width 50 m. What is the distance each player will run, in meters?
A: One lap corresponds to the perimeter of a rectangle of 100 m length and 50 m width: 2 * 100 + 2 * 50 = 300 metres. Each player has to do six turns of the field, so runs 6 * 300 = 1800 meters. The answer is 1800.
Question: Arthur knows that he needs to finish 800 pages of reading over the summer. He has read 80% of a 500-page book and 1/5 of a 1000 page book. How many more pages does he need to reach to meet his goal?
Answer: He read 400 pages from the 500 page book because 500 x .8 = 400. He read 200 pages from the 1000 page book because 1000 x (1 / 5) = 200. He has read 600 pages in total. He needs to read 200 more pages to reach 800 pages because 800 - 600 = 200. The answer is 200.
[Question]Jesse and Mia are competing in a week long race. They have one week to run 30 miles. On the first three days Jesse averages (2/3) of a mile. On day four she runs 10 miles. Mia averages 3 miles a day over the first 4 days. What is the average of their average that they have to run over the final three days?
[Answer]Jesse runs 2 miles in the first three days because 3 x (2 / 3) = 2. Jesse has 18 miles left to run because 30 - 10 - 2 = 18. Jesse has to run an average of 6 miles a day because 18 / 3 = 6. Mia runs 12 miles over the first four days because 4 x 3 = 12. She has 18 miles left to run because 30 - 12 = 18. She has to run six miles a day because 18 / 3 = 6. The total they both have to run is 12 miles a day. The average they have to run per day on average is 6 miles because 12 / 2 = 6. The answer is 6.
Q: In a Volleyball competition, Lizzie was able to score 4 points. Nathalie's score is 3 more than Lizzie's score and Aimee's score is twice the score of Lizzie and Nathalie combined. The rest of the points were made by their teammates. If the whole team was able to score 50 points, how many points did their teammates make?
A: Nathalie's score is 4 + 3 = 7. And the total points of Nathalie and Lizzie when combined is 7 + 4 = 11. So, the total score of Aimee is 11 x 2 = 22. Lizzie, Nathalie, and Aimee's total score is 22 + 11 = 33. Therefore, their teammates were able to score 50 - 33 = 17. The answer is 17.
Question: Mary and Ann are going sledding. Mary slides down a hill that's 630 feet long at a speed of 90 feet/minute. Ann slides down a hill that's 800 feet long at a rate of 40 feet/minute. How much longer does Ann's trip take than Mary?
Answer: First find the total time Mary's trip takes: 630 feet / 90 feet / minute = 7 minutes. Then find the total time Ann's trip takes: 800 feet / 40 feet / minute = 20 minutes. Then subtract Mary's time from Ann's time to find the difference: 20 minutes - 7 minutes = 13 minutes. The answer is 13.
Q: Toby is in a juggling contest with a friend. The winner is whoever gets the most objects rotated around in 4 minutes. Toby has 5 baseballs and each one makes 80 rotations. His friend has 4 apples and each one makes 101 rotations. How many total rotations of objects are made by the winner?
A:
Toby gets 400 full rotations because 5 x 80 = 400. His friend get 404 rotations because 4 x 101 = 404. The winner rotated 404 objects because 404 > 400. The answer is 404.