First find the current rate the hose pumps by multiplying its normal rate by 2 / 3: 6 gallons / minute * 2 / 3 = 4 gallons / minute. Then divide the number of gallons in the pond by the number of gallons pumped each minute to find how many minutes filling the pond takes: 200 gallons / 4 gallons / minute = 50 minutes.
The answer: 50
Reverse engineering the question: Jerry is refilling the duck pond in his backyard during a drought. The pond can hold 200 gallons of water. Jerry's hose can normally pump 6 gallons/minute, but due to drought restrictions, it can only pump 2/3rds as fast right now. How many minutes will it take Jerry to fill his pond?


Reasoning and answer: The gas cost 8 * 3.5 = $28. The mileage expenses cost 320 * .5 = $160. So in total he paid 150 + 28 + 160 = $338.
The answer: 338
What was the question?
Question: John rents a car to visit his family. It cost $150 to rent the car. He also had to buy 8 gallons of gas to fill it up and gas is $3.50 per gallon. The final expense is $.50 per mile. If he drove 320 miles how much did it cost?


There are 2 nests with 5 eggs each so 2 * 5 = 10 eggs. When you add up all the eggs she has found she has 10 + 3 + 4 = 17 eggs.
The answer: 17
Reverse engineering the question: June found 2 birds nest with 5 eggs each in 1 tree and 1 nest with 3 eggs in another tree. There was also a nest with 4 eggs in her front yard. How many birds eggs did she find?


Reasoning and answer: It rained 3 + 4 = 7 inches on Monday. So it rained 7 * 2 = 14 inches on Tuesday. That means the total rainfall was 7 + 14 + 4 = 25 inches.
The answer: 25
What was the question?
Question: It rained twice as much on Tuesday as Monday. On Monday it rained 3 inches more than Sunday. It rained 4 inches on Sunday. How much total rainfall was there over the 3 days?


Each picture will take 2 minutes to process. 2 x 960 = 1,920 minutes. There are 60 minutes in an hour. To find the hours, divide the minutes by 60. 1,920 / 60 = 32 hours.
The answer: 32
Reverse engineering the question: Alex is working on a science project and has taken pictures of all of the plants in a park near her home. She wants to find out how many of each plant she has pictures of, but she has 960 pictures, and counting them all will take her a long time. Her teacher suggested she use a program on the computer that can automatically tell her what plant is in each picture and count them for her. It will take the program 2 minutes to process each picture. How many hours will it take to process all of the pictures?


The soda cans were consumed by 90 / 2 = 45 guests. The sparkling water was consumed by 90 / 3 = 30 guests. The juice bottles were consumed by 4 / 5 x 50 = 40 guests. In total there are 45 + 30 + 40 = 115 recyclable cans and bottles.
The answer: 115
Reverse engineering the question:
There were 90 people at the summer picnic. There were 50 soda cans, 50 plastic bottles of sparkling water, and 50 glass bottles of juice. One-half of the guests drank soda, one-third of the guests drank sparkling water, and four-fifths of the juices were consumed. How many recyclable cans and bottles were collected?