Question 313741
pam can build a house in 11 2/3 months and jerry can build a house in 8 3/4 months. 
if they work together, how long would it take to build the house working together.
:
Convert 11 2/3 to {{{35/3}}}
Convert 8 3/4 to {{{35/4}}}
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Let t = time required if they work together
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Let the completed job = 1
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A shared work equation:
{{{t/(35/3)}}} + {{{t/(35/4)}}} = 1
Invert the dividing fractions and multiply; you have:
{{{(3t)/35}}} + {{{(4t)/35}}} = 1
multiply by 35 to get rid of the denominators
3t + 4t = 35
7t = 35
t = {{{35/7}}}
t = 5 days working together
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