Question: In a single day, it rained for many hours. From 2pm to 4pm, it rained at a rate of 4 inches per hour. From 4pm to 7pm, it rained at a rate of 3 inches per hour. And from 7pm to 9pm, it rained at a rate of 0.5 inches per hour. If the rain gauge started out the day already containing 2 inches of rainwater, how many inches of water will the gauge contain at 9pm?
Answer: From 2pm to 4pm is 4 - 2 = 2 hours. Thus, from 2 - 4pm, raining at 4 inches per hour, it added 8 inches to the rain gauge. From 4pm to 7pm is 7 - 4 = 3 hours. Thus, from 4 - 7pm, raining at a rate of 3 inches per hour, it added 3 * 3 = 9 inches to the rain gauge. From 7pm to 9pm is 9 - 7 = 2 hours. Thus, from 7 - 9pm, raining at a rate of 0.5 inches per hour, it added 2 * 0.5 = 1 inch to the gauge. If the gauge originally contained 2 inches of water, by 9pm the gauge contained 2 + 8 + 9 + 1 = 20 inches of water. The answer is 20.
[Question]In India, it cost $1 to purify a gallon of fresh water. Each person needs 1/2 a gallon of fresh water a day. In a family of 6, how much will it cost for fresh water for the day?
[Answer]The family needs 3 gallons of water because 6 x .5 = 3. It will cost $3 because 3 x 1 = 3. The answer is 3.
Q: A snake's head is one-tenth its length. If a snake is 10 feet long, calculate the length of the rest of its body minus the head.
A: A snake's head is one - tenth its length, which is 1 / 10 * 10 = 1 foot. Since the snake's head is 1 foot, the rest of its body is 10 - 1 = 9 feet long. The answer is 9.
Question: The cost of building a certain house in an area is 100,000 more than the construction cost of each of the houses in the area. But it sells for 1.5 times as much as the other houses, which sell at $320,000 each. How much more profit is made by spending the extra money to build?
Answer: The house cost 320,000 * 1.5 = $480,000. So it is worth 480,000 - 320,000 = $160,000 more than other houses. So the profit is 160,000 - 100,000 = $60,000 more. The answer is 60000.
[Question]Wendy's truck has a gas tank that can hold 20 gallons. She also has a car with a gas tank that holds 12 gallons. The truck's tank is half full. The car's tank is 1/3 full. If she fills them both up completely, how many gallons does she add?
[Answer]The truck tank has 10 gallons in it because 20 x .5 = 10. The car tank has 4 gallons in it because 12 x (1 / 3) = 4. She needs to add 10 gallons to the truck because 20 - 10 = 10. She needs to add 8 gallons to the car because 12 - 4 = 8. She needs to add 18 gallons in total because 10 + 8 = 18. The answer is 18.
[Question]The length of a rectangle is four times its width. If the area is 100 m2. what is the length of the rectangle?
[Answer]
Let L be the length and W be the width of the rectangle. Hence L = 4 * W. We now use the area to write 80 = L * W. Substitute L by 4 W in the equation above 80 = 4 * W × W = 4 W^2. Solve for W and find L. 4 W^2 = 100. W^2 = 25, W = 5 and. L = 4 * 5 = 20 m. The answer is 20.