sue an shovel snow from her driveway in 55 minutes. Bill can do the same job in 60 minutes. how long would it take if they did it together.
T=(T1*T2)/(T1+T2) = (55*60)/(55+60)=28.7
min.
To determine how long it would take Sue and Bill to shovel snow together, we can calculate their combined work rate by adding up their individual work rates.
Sue takes 55 minutes to shovel the entire driveway, so her work rate is 1 driveway / 55 minutes = 1/55 driveways per minute.
Similarly, Bill takes 60 minutes to shovel the entire driveway, so his work rate is 1 driveway / 60 minutes = 1/60 driveways per minute.
To find their combined work rate, we can add their individual work rates: 1/55 + 1/60 = (60 + 55)/(55*60) = 115/3300 driveways per minute.
Now, to determine how long it would take them to shovel the driveway together, we can invert their combined work rate to find the time required to complete 1 driveway: 3300/115 minutes/driveway ≈ 28.7 minutes/driveway.
Therefore, if Sue and Bill shovel snow together, it would take them approximately 28.7 minutes to complete the job.