Question 454830
Scott can install windows in 6 hours and Jordan can do the same job in 5 hours.
 How long would it take if they worked together?
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Let t = time required when they work together
:
Let the completed job = 1
:
A shared work equation (Each will do a fraction of the job, the two fractions add up to 1):
{{{t/6}}} + {{{t/5}}} = 1
Multiply by 30, results
5t + 6t = 30
11t = 30
t = {{{30/11}}}
t = 2.73 hrs working together, 2 + .73(60) = 2 hrs 44 min
:
:
Check that
2.73/6 + 2.73/5 = 
 .455 + .546 = 1.00 hrs; confirms our solution of t = 2.73 hrs