Question

Jack and Walter work in a store's gift-wrapping department. Jack can wrap 28 boxes in 2 hours, while Walter takes 3 hours to wrap 36 boxes of the same size. One day they work together for t hours to gift wrap 65 boxes. Which equation models this situation?

Answer 1

Together they wrap 14+12 = 26 boxes per hour.
t hours × 26 boxes/hour = 65 boxes

C

Answer 2

t hours × 26 boxes/hour = 65 boxes

Explanation:

Jack can wrap 28 boxes in 2 hours.

i.e. In 1 hour Jack can wrap 14 boxes.

while Walter takes 3 hours to wrap 36 boxes of the same size.

i.e. in 1 hour Walter can wrap 12 boxes.

Together they wrap 14+12 = 26 boxes per hour.

In t hour they will wrap 26t boxes

Hence, equation that represents this situation is:

t hours × 26 boxes/hour = 65 boxes