Question 1035001
The set up looks like this
{{{t/A + t/B = 1}}}
where t is the amount of time they work together.
Here we have
{{{t/74 + t/50 = 1}}}
Now multiply by the lowest common denominator, 1850, and get
{{{25t + 37t = 1850}}}
62t = 1850 
t = 29.8 hours