If 1 person can paint the room in 12 hours, how long would it take the other person working alone?īasically, you could do this by solving Formula 1 for either Worker 1 Time or Worker 2 Time.īut that's okay because we've done it for you. Two people can paint a room in 4 hours 48 minutes (or 4.8 hours). Using the quadratic equation calculator, we find F = 120 and inserting this intoĮquation B) F + 60 = S B) 120 + 60 = S we get S =180. Inserting equation B into equation A, we get: We know that one person is 1 hour (60 minutes) faster than the other, giving us equation "B" Looking at Formula 1, let's set up equation "A" where "F" is the faster speed and "S" is the slower speed. How much time would it take for each person to mow the lawn when working separately? When working separately, one person can mow the lawn one hour faster than the other. Two people working together can mow a lawn in 72 minutes. If they all work together, how quickly will the pool be filled?Įntering these numbers into the calculator shows that the pool will be filled in 2.1631 hours. Just for a quick example, 4 pipes, working separately, can each fill a pool in 7, 8, 9 and 12 hours. This calculator is designed for solving parallel resistances but can also be used for these type of problems. Using Formula 1 with the data from example "1" It might seem unusual to have a special formula to use for two people, but you have to admit it is much easier than using formula 2. So together they paint (⅙ + ¼) = 10/24 = 5/12 of a room in one hour.ĥ/12 rooms per hour = 12/5 hours per room = 2.4 hours.įormulas are usually the best way for solving problems but memorize them exactly especially if you will be taking a test. In one hour, Bill paints ⅙ of a room and Dave paints ¼ of a room. So, 2½ rooms could be painted in 6 hours, and this converts to: There are several ways in which this can be solved:Ī) Set up rates based on time per room making sure the same time is used for each person.ĭave's rate of 4 hours per room can be converted to 6 hours per 1½ rooms. If they both work togeher, how much time will it take them to paint one room? (These are quite similar to "pipes filling a pool" problems and are solved similarly.)īill can paint a room in 6 hours and Dave can paint a room in 4 hours. In algebra, problems dealing with two (or more) people working together are encountered quite often. Scroll down to see Solving Algebra Pipe Filling Problems
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