Youve worked with various types of problems involving rates. A new kind of problem that
Chapter 4, Problem 11(choose chapter or problem)
Youve worked with various types of problems involving rates. A new kind of problem that uses rates is called a work problem. In a work problem, you usually know how long it would take someone or something to complete an entire job. You use the reciprocal of the complete time to find a rate of work. For example, if Mavis paints 1 entire room in 10 hours, she paints of the room each hour. These problems rely on the formula rate of work time = part of work. These problems also assume that a complete job is equivalent to 1. Mavis and Claire work for a house painter. Mavis can paint a room in 10 hours, and Claire can paint a room in 8 hours. How long will it take them to paint a room if they work together? Let t represent the number of hours that Mavis and Claire paint. Mavis paints of a room each hour, and Claire paints of a room each hour. So you can write the equation a. Solve this equation, check your answer, and state the solution. b. Solve this problem using a similar procedure:When fully turned on, the faucet of a bathtub fills a tub in 30 minutes. When the tub is full of water and the drain is opened, the tub empties in 45 minutes. If the faucet is fully turned on and the drain is open at the same time, how much time does it take to fill the tub?
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