Six packers can pack 800 boxes in a 9-hour day. Find how long it would take four packers to pack 400 boxes assuming they all work at the same rate.

Question

Please explain how you get the answer and the simplest way too please.

Answer 1

The given data describes the capability of 54  person-hours of work (one day), so the unit rate per person must be 800/54 (boxes per hour per person).

 

# of boxes at same rate = 400 = 4 persons times (800/54 boxes/person-hour))(h hours).

 

Solve for h; I got 27/4 or 6.75 hours.  Check the work.