1. **State the problem:** Hesham packed 100 boxes in 2.5 hours. We need to find how many hours it would take him to pack 160 boxes at the same rate. 2. **Find the rate of packing per hour:** The rate is the number of boxes packed per hour. $$ \text{Rate} = \frac{100 \text{ boxes}}{2.5 \text{ hours}} = 40 \text{ boxes per hour} $$ 3. **Set up the equation to find the time for 160 boxes:** Let $t$ be the time in hours to pack 160 boxes. Since rate = boxes / time, we have: $$ 40 = \frac{160}{t} $$ 4. **Solve for $t$:** Multiply both sides by $t$: $$ 40t = 160 $$ Divide both sides by 40: $$ t = \frac{160}{40} = 4 $$ 5. **Interpret the answer:** It will take Hesham 4 hours to pack 160 boxes at the same rate. **Final answer:** 4 hours