SOLUTION: if sam can do a job in 4 days that lisa can do in 6 days and tom can do in two days how long would the job tabe if sam,lisa ,and tom worked together to completed

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: if sam can do a job in 4 days that lisa can do in 6 days and tom can do in two days how long would the job tabe if sam,lisa ,and tom worked together to completed       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 532530: if sam can do a job in 4 days that lisa can do in 6 days and tom can do in two days how long would the job tabe if sam,lisa ,and tom worked together to completed

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
if sam can do a job in 4 days that lisa can do in 6 days and tom can do in two days, how long would the job take if sam, lisa ,and tom worked together to completed
:
Let t = time required when all worked
Let the completed job = 1
:
A typical shared work equation, each will do a fraction of the job, the 3 fractions add up to 1
t%2F4 + t%2F6 + t%2F2 = 1
Multiply by 12
12*t%2F4 + 12*t%2F6 + 12*t%2F2 = 12
Cancel out the denominators and you have:
3t + 2t + 6t = 12
11t = 12
t = 12%2F11
t = 1.09 days, or 1 day + .09(24) = 1 day 2.2 hrs