# SOLUTION: If Sarah Clark can do a job in 5 hours and Dick Belli and Sarah working together can do the same job in 2 hours, find how long it takes Dick to do the job alone.

Algebra ->  Algebra  -> Rate-of-work-word-problems -> SOLUTION: If Sarah Clark can do a job in 5 hours and Dick Belli and Sarah working together can do the same job in 2 hours, find how long it takes Dick to do the job alone.      Log On

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 Question 107495This question is from textbook Intermediate Algebra : If Sarah Clark can do a job in 5 hours and Dick Belli and Sarah working together can do the same job in 2 hours, find how long it takes Dick to do the job alone.This question is from textbook Intermediate Algebra Found 3 solutions by scott8148, kid185, Mathtut:Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!each person does some fraction of the job ... the fraction is the combined time divided by the indivdual time let D="Dick's time" ... (2/5)+(2/D)=1 ... 2D+10=5D Answer by kid185(2)   (Show Source): You can put this solution on YOUR website!lol, let see., i doesnt know how to calculate it., so this is only my theory., suppose sarah done 500 work in 5 hour, so that means she can make 100 per hour., in two hour she can make 200 work done., leaving dick 300 work to be done in 2 hour, so now we know dick can do 150 work in 1 hour.. to finish 500 work, which the same amount of work with sarah., 500 divide by 150, and the answer is, approximately 3 hours 20 minutes. correct me if i'm wrong, Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!let x be the number of hours it takes Sarah to do the job let y be the number of hours it takes Dick to do the job : so sarah can do 1/x of the job per hour and Dick can do 1/y of the job per hour : : : : : : hours or 3 and 1/3 hours(time it takes Dick to do job by himself