document.write( "Question 537125: A can do a piece of work in 7 days of 10 hours each & B can do it in 5 days of 12 hours each. How long will they take to do it, working together hours a day \n" ); document.write( "
Algebra.Com's Answer #352756 by fcabanski(1391)\"\" \"About 
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Job problems are a lot like the D=RT problems. The formula is J=RT where J is the whole job, generally 1, while R is the rate of work and T is the time.


\n" ); document.write( "A completes the job in 7 days times 10 hours = 7 * 10 = 70 hours. So A's rate is 1/70 of the job per hour.


\n" ); document.write( "B completes the job in 5 days times 12 hours = 5 * 12 = 60 hours. So B's rate is 1/60 of the job per hour.


\n" ); document.write( "Working together they combine their rates. 1/60 + 1/70 = (60+70)/4200 = 130/4200 = 13/420.


\n" ); document.write( "1 = 13/420*T


\n" ); document.write( "That will give the time, in hours, it takes them to complete the job while working together. The question seems incomplete, because it says \"working together hours a day.\" What is that blank? How many hours a day do they work together? Whatever it is, divide the answer we find (total hours) by whatever is in that blank to find the number of days.


\n" ); document.write( "Divide both sides by 13/420.


\n" ); document.write( "420/13 = T = 416 and 4/13 hours.\r
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