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 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/4}}} + {{{t/6}}} + {{{t/2}}} = 1
Multiply by 12
12*{{{t/4}}} + 12*{{{t/6}}} + 12*{{{t/2}}} = 12
Cancel out the denominators and you have:
3t + 2t + 6t = 12
11t = 12
t = {{{12/11}}}
t = 1.09 days, or 1 day + .09(24) = 1 day 2.2 hrs