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Q: If Sue can shovel snow from her driveway in 30 minutes Tom can do the same job in 50 minutes how long would it take sue and tom to shovel the drive way if they worked together?
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Janet can shovel snow from her driveway in 45 minutes Bill can do the same job in 65 minutes How long would it take Janet and Bill to shovel the driveway if they worked together?

About 26 mins 35 secs (26.6 mins). In 1 minute, Janet will shovel 1/45 of the snow and Bill will shovel 1/65. Thus in 1 minute, working together they will shovel 1/45 + 1/65 = 22/585 of the snow. Thus to shovel all the snow will take: 585/22 minutes = 2613/22 minutes ~= 26 mins 35 secs.


If Sue can shovel snow from her driveway in 40 minutes Tom can do the same job in 55 minutes how long would it take sue and tom to shovel the drive way if they worked together?

Sue shovels (1/40th) of the driveway each minute.Tom does (1/55th) of the same job each minute.Together, they do (1/40 + 1/55) = (11/440 + 8/440) = (19/440) of the job each minute.It would take them (440/19) = 23.16 minutes to do the whole job together. (rounded)


7 Sam can shovel his driveway in 2 hours His little brother Max would take 3 hours if he worked alone How long would it take the two of them to do the job if they worked together?

2.5hrs :) * * * * * Should be :( since that is the WRONG answer - as a simple credibility check on the answer would tell you. If they work together, how can it take longer than Sam doing it alone? Sam can do the driveway in 2 hours so Sam does 1/2 driveways per hour. Max can do the driveway in 3 hours so Max does 1/3 driveways per hour. So Sam + Max do 1/2 + 1/3 = 5/6 driveways per hour. To do 1 driveway would, therefore, take them 1/(5/6) = 6/5 hours = 1.2 hours or 1 hour 24 mintes.


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