# SOLUTION: john and charles are linemen. John can string 10 miles of line in 3 days, while together they can string it in 1 day. how long would it take charles alone to string the same line?

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: john and charles are linemen. John can string 10 miles of line in 3 days, while together they can string it in 1 day. how long would it take charles alone to string the same line?       Log On

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 Question 394140: john and charles are linemen. John can string 10 miles of line in 3 days, while together they can string it in 1 day. how long would it take charles alone to string the same line? ?Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website!Let x=amount of time it takes Charles alone to string the same line Then Charles works at the rate of 1/x of the line per day John can string 1/3 of the line per day Together John and Charles can string 1/x + 1/3 of the line per day But we are told that together they can do the job in 1 day, so: 1/x + 1/3 =1 multiply each term by 3x 3+x=3x 2x=3 x=1.5 days CK 1/(3/2) +1/3=1 2/3+1/3=1 1=1 Hope this helps---ptaylor