Question 437121
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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?
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        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.



<pre>
Sue makes  {{{1/30}}} of the job per minute.

Jim makes  {{{1/35}}}  of the job per minute.


Working together, they make  

    {{{1/30}}} + {{{1/35}}} = {{{(30+35)/(30*35)}}} = {{{65/(30*35)}}} = {{{13/(30*7)}}} = {{{13/210}}}

of the job per minute.


So, they need  {{{210/13}}} = 16{{{2/13}}}  minutes working together.
</pre>

Solved correctly and presented properly.