SOLUTION: When working together worker A and worker B take 8 hours to complete a project.Today they decide to work on the project separately. Worker A firsts works on the project for 6 hours
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Question 677481: When working together worker A and worker B take 8 hours to complete a project.Today they decide to work on the project separately. Worker A firsts works on the project for 6 hours,and then worker B finishes it in 12 hours. If worker A or worker B did the project alone, how long would it take for each of them to complete it?
You can put this solution on YOUR website! When working together worker A and worker B take 8 hours to complete a project.
Today they decide to work on the project separately.
Worker A firsts works on the project for 6 hours,and
then worker B finishes it in 12 hours.
If worker A or worker B did the project alone, how long would it take for each of them to complete it?
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let the completed job = 1
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Working together + = 1
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Working separately + = 1
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Multiply the 1st equation by 3, the 2nd equation by 2 + = 3 + = 2
----------------------------Subtraction eliminates B, find A = 1
A = 12 hrs alone
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Use the 1st original equation to find B, replace A with 12 + = 1
multiply by 12B
8B + 12(8) = 12B
96 = 12B - 8B
96 = 4B
B = 96/4
B = 24 hrs alone
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Confirm this in the 2nd original equation + = 1
.5 + .5 = 1
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