SOLUTION: 15. sue can shovel snow from her driveway in 30mins. jim can do the same job in 35mins. how long would i ttake sue and ime to shovel teh driveway if they worked together? 16.sim

Algebra ->  Test  -> Lessons -> SOLUTION: 15. sue can shovel snow from her driveway in 30mins. jim can do the same job in 35mins. how long would i ttake sue and ime to shovel teh driveway if they worked together? 16.sim      Log On


   

Question 437121: 15. sue can shovel snow from her driveway in 30mins. jim can do the same job in 35mins. how long would i ttake sue and ime to shovel teh driveway if they worked together?
16.simplify by removing factors of 1 (7y-14)/2-y
Found 3 solutions by mananth, ikleyn, josgarithmetic:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Showelling the snow is one job
Sue 30 minutes
she does 1/30 of the job in 1 minute
Jim 35 minute
he does 1/35 of thejob in 1 minute
Together they will do 1/30 + 1/35 +
Together they will do 6/97 of the job in one minute
So they will take 16 1/7 minutes

(7y-14/(2-y)
-7(2-y)/(2-y)
=-7

Answer by ikleyn(53427) About Me  (Show Source):
You can put this solution on YOUR website!
.
15. sue can shovel snow from her driveway in 30 mins. jim can do the same job in 35 mins. how long would i ttake sue and ime to shovel teh driveway if they worked together?
~~~~~~~~~~~~~~~~~~~~~~~~


        Calculations in the post by @mananth are incorrect and should be redone  (polished).
        I came to make the job accurately and to present it an a way as it  SHOULD  be done. 


Sue makes  1%2F30 of the job per minute.

Jim makes  1%2F35  of the job per minute.


Working together, they make  

    1%2F30 + 1%2F35 = %2830%2B35%29%2F%2830%2A35%29 = 65%2F%2830%2A35%29 = 13%2F%2830%2A7%29 = 13%2F210

of the job per minute.


So, they need  210%2F13 = 162%2F13  minutes working together.

Solved correctly and presented properly.



Answer by josgarithmetic(39702) About Me  (Show Source):
You can put this solution on YOUR website!
Assume each works on the same driveway.
Sue, 30 minutes for the job
Jim, 35 minutes the same job
The two of them working together, 1%2F30%2B1%2F35 driveway per minutes

%287%2F7%29%281%2F30%29%2B%286%2F6%29%281%2F35%29
13%2F210
or looking at reciprocal
210%2F13 minutes per driveway
approximately 16 minutes