Question 504467
: A can do a work in 8 days and B in 12 days. 
How long will A and B take to do the same work together?
:
Let t = time required when working together
Let the completed job = 1
:
{{{t/8}}} + {{{t/12}}} = 1
multiply by 24 to clear the denominator, results:
3t + 2t = 24
t = {{{24/5}}}
t = 4.8 days working together