Question 691910
<pre>
The least common multiple of 6 and 10 is 30. 
So 30 days from today both will work together again.

Explanation:

Pretend that today is July 31st.

Then one worker will work

August 6, August 12, August 18, August 24, and August 30. 

The other worker will work these days: 

August 10, August 20, August 30.

Edwin</pre>