Q: Jill can run up a hill at 9 feet/second and down a hill at 12 feet/second. How long does it take her to run up and down a 900 foot hill?
A: First find the time it takes Jill to run up the hill: 900 feet / 9 feet / second = 100 seconds. Then find the time it takes Jill to run down the hill: 900 feet / 12 feet / second = 75 seconds. Then add the two times to find Jill's total time: 100 seconds + 75 seconds = 175 seconds. The answer is 175.
Question: Bert made 12 sandwiches for his trip. On the first day, he ate half of the sandwiches he made. The next day he ate 2 sandwiches less. How many sandwiches does Bert have left after these two days?
Answer: On the first day, Bert ate 12 / 2 = 6 sandwiches. The second day he ate 6 - 2 = 4 sandwiches. So in total Bert is left with 12 - 6 - 4 = 2 sandwiches. The answer is 2.
[Question]Olaf is sailing across the ocean with 25 men, including himself. He needs 1/2 a gallon of water per day per man. The boat can go 200 miles per day and he needs to travel 4,000 miles. How many gallons of water does he need?
[Answer]He needs 12.5 gallons per day because 25 x .5 = 12.5. It will take 20 days of travel because 4,000 / 200 = 20. He will need 250 gallons of water because 20 x 12.5 = 250. The answer is 250.
Q: If Buzz bought a pizza with 78 slices at a restaurant and then decided to share it with the waiter in the ratio of 5:8, with Buzz's ratio being 5, what's twenty less the number of slices of pizza that the waiter ate?
A: The total ratio representing the slices of pizza that Buzz bought is 5 + 8 = 13. If he shared the slices of pizza with the waiter, the waiter received a fraction of 8 / 13 of the total number of slices, which totals 8 / 13 * 78 = 48 slices. Twenty less the number of slices of pizza that the waiter ate is 48 - 20 = 28. The answer is 28.
Question: Elliott drew a right-angle triangle on his book. It had a base of 4 inches, a height of 3 inches and a certain length of the hypotenuse. What was the length of the perimeter of the triangle that he drew?
Answer: Since the hypotenuse of a triangle is found by the square root of the base squared plus the height squared. The square of the base of the first triangle is 4 * 4 = 16 square inches. The square of the height of the first triangle is 3 * 3 = 9 square inches. The sum of the squares of the base and the height of the first triangle is 16 + 9 = 25. The square root of the sum of the base and the height of the first triangle, which is the hypotenuse of the triangle, is √25 = 5 inches. Since the perimeter of a triangle is found by adding the sides of the triangle, the base and height of the triangle sum up to 3 + 4 = 7 inches. If you add the hypotenuse of the triangle the perimeter of the triangle becomes 7 + 5 = 12 inches. The answer is 12.
Q: Jose is a collector of fine wines. His private cellar currently holds 2400 bottles of imported wine and half as many bottles of domestic wine as imported wine. If Jose holds a party and the guests drink one-third of all his wine, how many bottles will remain in his cellar?
A:
Jose has half as many bottles of domestic wine as imported wine, or 2400 / 2 = 1200 bottles of domestic wine. In total, he has 2400 + 1200 = 3600 bottles of wine. If the guests drink one - third of all his wine, then they will have consumed 3600 / 3 = 1200 bottles of wine. Thus, after the party, Jose's private cellar will have 3600 - 1200 = 2400 remaining bottles of wine. The answer is 2400.