[Question]Tom swims for 2 hours at a speed of 2 miles per hour. He then runs for half the time at 4 times the speed. How many miles did he cover?
[Answer]He swam 2 * 2 = 4 miles. He ran for 2 / 2 = 1 hour. His running speed was 2 * 4 = 8 mph. So he ran 8 * 1 = 8 miles. So his total distance was 8 + 4 = 12 miles. The answer is 12.
Q: A mother duck as 8 ducklings. The first 3 ducklings find 5 snails each. Another 3 ducklings find 9 snails each, and the remaining ducklings each find half the number of snails that mother duck finds. If mother duck finds tree times the total number of snails as the first 2 groups of ducklings, how many snails does the family of ducks have collectively?
A: The first 3 ducklings find 3 x 5 = 15 snails. The next 3 ducklings find 3 x 9 = 27 snails. They find a total of 15 + 27 = 42 snails. Mother duck finds 42 x 3 = 126 snails. The last group has 8 - 3 - 3 = 2 ducklings. They find 126 / 2 = 63 snails each. The family of ducks found a total of 42 + 126 + 63 + 63 = 294 snails. The answer is 294.
Question: Tabitha and her friends were excited to go to the Christmas parade because they knew candy would be thrown to the crowd from the floats. Tabitha caught 22 pieces of candy. Stan caught 13 pieces. Julie caught half the amount of candy as Tabitha caught and Carlos caught twice as much candy as Stan. How many pieces in total did the friends catch?
Answer: Julie caught half the amount of Tabitha's 22 pieces so 22 / 2 = 11 pieces of candy caught by Julie. Carlos caught twice the amount of candy as Stan's 13 pieces so 2 * 13 = 26 pieces of candy caught by Carlos. All together, Tabitha caught 22 pieces, Stan had 13, Julie had 11 and Carlos had 26, so there were a total of 22 + 13 + 11 + 26 = 72 pieces of candy. The answer is 72.
[Question]Harris feeds his dog 1 large organic carrot over the course of 1 day. There are 5 carrots in a 1 pound bag and each bag costs $2.00. In one year, how much will Harris spend on carrots?
[Answer]His dog gets 1 carrot a day and there are 365 days in a year, so his dog eats 1 * 365 = 365 carrots. There are 5 carrots per bag and he will need 365 carrots, so that's 365 / 5 = 73 bags of carrots. The bags cost $2.00 and he will need 73 bags so that's $2 * 73 = $146.00 worth of organic carrots. The answer is 146.
Q: Sheila, Purity, and Rose want to rent a house. Sheila has offered to pay five times Purity’s share of the rent. Rose can only afford thrice what Purity pays. If Rose’s share is $1,800, what is the total house rent?
A: Purity will pay a third of Rose's share, which translates to 1800 / 3 = 600 dollars. Sheila has offered to pay 5 * 600 = 3000 dollars. Combining everyone’s share of the rent will give a total of 600 + 3000 + 1800 = 5400 dollars. The answer is 5400.
Question: Grace is filling her pool in the backyard with a hose that sprays 50 gallons/hour. She waited for 3 hours but the pool wasn't full, so she decides to add another hose that sprays 70 gallons/hour, and after 2 more hours the pool is full. How much water can Grace’s pool contain?
Answer:
In the first 3 hours the pool gets 50 gallons / hour x 3 hours = 150 gallons. With the addition of the other hose, the pool was filling with a rate of 50 gallons / hour + 70 gallons / hour = 120 gallons / hour. In the next 2 hours with both hoses the pool gets 120 gallons / hour x 2 hours = 240 gallons. The pool's total capacity is 240 gallons + 150 gallons = 390 gallons. The answer is 390.