Tim C. answered  12/05/16
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The easy way to solve this problem (versus the hard way) is to use the following formula:
a x b
------
a + b
where a is the hours worked for the first person and b is the hours worked for the second person
14 x 35        490
---------  =  ------- = 10
14 + 35         49
Together it will take them 10 hours.