Question: A wheel on a certain machine makes 6 turns every 30 seconds. How many turns does it make in two hours?
Answer: Since there are 60 seconds in 1 minute, then there are 60 / 30 = 2 sets of 30 seconds in a minute. So a wheel makes 6 x 2 = 12 turns in 1 minute. Since there are 60 minutes in 1 hour, then a wheel makes 12 x 60 = 720 turns in an hour. Therefore, the wheel makes 720 x 2 = 1440 turns in 2 hours. The answer is 1440.
[Question]Harper drinks a 1/2 bottle of mineral water per day. She buys the mineral water by the case at a big box store. They come 24 bottles to a case and are currently on sale for $12.00. If she wants to buy enough cases to last her 240 days, how much will she spend?
[Answer]She drinks 1 / 2 bottle a day and there are 24 bottles in a case so a case will last 24 / .5 = 48 days. She needs enough to last her 240 days and 1 case will last her 48 days so she needs 240 / 48 = 5 cases. Each case is on sale for $12.00 and she needs 5 cases so that's 12 * 5 = $60.00. The answer is 60.
Q: Liz bought a recipe book that cost $6, a baking dish that cost twice as much, five ingredients that cost $3 each, and an apron that cost a dollar more than the recipe book. Collectively, how much in dollars did Liz spend?
A: The baking dish cost 6 * 2 = 12. The ingredients cost 5 * 3 = 15. The apron cost 6 + 1 = 7. Collectively, Liz spend 6 + 12 + 15 + 7 = 40. The answer is 40.
Question: Carson is refilling his tires. Each tire can hold 500 cubic inches of air. Two of the tires are completely flat and empty. One tire is 40% full and the last tire is 70% full. If Carson injects 50 cubic inches of air with each pump, how many pumps will it take him to fill all the tires?
Answer: First, if the a full tire needs 500 cubic inches of air, then two empty tires need: 500 cubic inches / tire * 2 tires = 1000 cubic inches. Accordingly, the 40% - full tire needs 500 cubic inches * (100% - 40%). So, we find the 40% - full tire needs 500 cubic inches * (60%) = 300 cubic inches. And, the 70% - full tire needs 500 cubic inches * (100% - 70%). So, the 70% - full tire needs 500 cubic inches * (30%) = 150 cubic inches. Now add up the needs of all the tires to find the total number of cubic inches needed: 1000 cubic inches + 300 cubic inches + 150 cubic inches = 1450 cubic inches. Finally, if the pumps each hold 50 cubic inches, the total number of pumps needed is 1550 cubic inches / 50 cubic inches / pump = 29 pumps. The answer is 29.
[Question]Manex is a tour bus driver. He has to drive 55 miles to the destination and drive going back to the starting point on a different way that is 10 miles farther. If he can drive 1 mile for 2 minutes and stayed 2 hours at the destination, how long will it take the bus driver to do the entire tour in hours?
[Answer]The bus traveled 55 + 10 = 65 miles going back to the starting point. So, the bus traveled a total of 55 + 65 = 120 miles. It took 120 x 2 = 240 minutes to travel. Since there are 60 minutes in 1 hour, then the bus traveled for 240 / 60 = 4 hours. Therefore, the entire tour took 4 + 2 = 6 hours. The answer is 6.
[Question]A crate can hold 20 kilograms of tomatoes. Tommy has 3 crates which he bought for $330. He wants to sell the tomatoes for $6 per 1 kilogram but 3 kilograms of tomatoes were rotten. How much will be Tommy's profit from selling those tomatoes?
[Answer]
Tommy has a total of 20 x 3 = 60 kilograms of tomatoes. Only 60 - 3 = 57 kilograms can be sold. His earnings for the tomatoes will be $342. Thus, his profit will be $342 - $330 = $12. The answer is 12.