Sixteen men can complete a work in 22 days working 12 hours a day.  In how many days can 24 men complete the same work working 16 hours a day?

Sure, let's solve this step by step:

Step 1: First, we need to find out the total man-hours required to complete the work. We can do this by multiplying the number of men, the number of days, and the number of hours per day. So, 16 men * 22 days * 12 hours/day = 4224 man-hours.

Step 2: Next, we need to find out how many man-hours per day 24 men working 16 hours can contribute. This is simply 24 men * 16 hours/day = 384 man-hours/day.

Step 3: Finally, we divide the total man-hours required to complete the work by the man-hours per day to find out how many days it would take. So, 4224 man-hours / 384 man-hours/day = 11 days.

So, 24 men working 16 hours a day can complete the work in 11 days.