Q: In Hawaii, they normally get an average of 2 inches of rain a day. With 100 days left in the year, they've gotten 430 inches of rain. How many inches on average do they need to finish the year with the normal average?
A: They need 730 inches of rain a year to average 2 inches a day because 365 x 2 = 730. They need 300 more inches because 730 - 430 = 300. They need 3 inches a day because 300 / 100 = 3. The answer is 3.
Question: Giselle is in charge of the relay run on track and field day. Last year, the race was 300 meters. This year, it will be 4 times as long. Giselle needs to set up 6 tables for the relay run. The distance between the tables must be the same and the last table will be at the finish line. What is the distance between table 1 and table 3 in meters?
Answer: The relay run is 4 times the length of last year’s race, so 300 meters x 4 = 1200 meters. With 6 tables along the route, the distance between tables is 1200 meters / 6 tables = 200 meters. The distance between tables 1 and 3 is 200 meters x 2 = 400 meters. The answer is 400.
[Question]Stan makes a playlist for the next time he goes running. He has 10 3-minute songs and 15 2-minute songs on his playlist. His entire run takes 100 minutes. If Stan wants a playlist to cover his entire run, how many more minutes of songs will he need in his playlist?
[Answer]His playlist currently has a playtime of 10 songs * 3 minutes = 30 minutes from 3 - minute songs. It also has a playtime of 15 songs * 2 minutes = 30 minutes from 2 - minute songs. So far, his playlist lasts for 30 + 30 = 60 minutes. He therefore still needs 100 minutes for his run – 60 minutes current playtime = 40 minutes. The answer is 40.
Q: Kris has been suspended for bullying many times. For every instance of bullying, she was suspended for 3 days. If she has been suspended for three times as many days as a typical person has fingers and toes, how many instances of bullying is she responsible for?
A: Three times as many days as a typical person has fingers and toes is 3 * 20 = 60 days. Three days per instance of bullying is 60 / 3 = 20 instances of bullying. The answer is 20.
Question: Trevor buys several bouquets of carnations. The first included 9 carnations; the second included 14 carnations; the third included 13 carnations. What is the average number of carnations in the bouquets?
Answer: The sum is 9 + 14 + 13 = 36. There are 3 bouquets. The average is 36 / 3 = 12. The answer is 12.
Q: Yolanda leaves home for work at 7:00 AM, riding her bike at 20 miles per hour. 15 minutes after she leaves, her husband realizes that she forgot her lunch, and jumps in the car to bring it to her. If he drives at 40 miles per hour and follows the exact same route as Yolanda, how many minutes will it take him to catch her?
A:
Let x be the number of minutes it takes Yolanda's husband to catch her. We know that Yolanda will spend a total of x + 15 minutes riding her bike since she left 15 minutes before her husband. The distance each person travels is equal to their travel speed times the number of minutes they spend traveling. That means Yolanda's distance is equal to 20 mph * (x + 15) and her husband's distance is equal to 40 mph * x. Yolanda's husband catches up to her when they've both traveled the same distance, which is when 20(x + 15) = 40x. We can simplify this equation by multiplying 20 through the parentheses to get 20x + 300 = 40x. Then we can subtract 20x from each side to get 300 = 20x. Finally, we divide both sides by 20 to find that x = 15. The answer is 15.