SOLUTION: After encoding the manuscript for 5 days, Agnes asked the help of her friend Xander. Together they finished the entire manuscript in 4 days. Had Xander joined in a day after Jane,t
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Question 965964: After encoding the manuscript for 5 days, Agnes asked the help of her friend Xander. Together they finished the entire manuscript in 4 days. Had Xander joined in a day after Jane,the whole encoding work would have been finished in 7 days. How long would it have taken Agnes to encode the manuscript alone? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! After encoding the manuscript for 5 days, Agnes asked the help of her friend Xander.
Together they finished the entire manuscript in 4 days.
Had Xander joined in a day after Jane,the whole encoding work would have been finished in 7 days.
How long would it have taken Agnes to encode the manuscript alone?
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let a = time for Agnes to do the job alone
let x = time for Xander to do it
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Let the completed job = 1, write an equation for each scenario
"After encoding the manuscript for 5 days, Agnes asked the help of her friend Xander. Together they finished the entire manuscript in 4 days. '"
Agnes worked 9 days + = 1
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Xander joined in a day after Jane,the whole encoding work would have been finished in 7 days. + = 1
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multiply the 1st equation by 3, the 2nd equation by 2 + = 3 + = 2
--------------------------------Subtraction eliminates x, find a = 1
a = 13 days for Agnes to do the job alone
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To confirm this we have to find how long it take Xan alone + = 1
multiply by 13x, cancel the denominators
9x + 13(4) = 13x
52 = 13x - 9x
52 = 4x
x = 52/4
x = 13 days for Xan also
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Check it in the 2nd equation with these values + = 1 = 1
