A lifter loads 200 packages of grocery in truck in an hour. Whereas, a labor loads two quarters less packages in same time. How many hours it would take them to load 1500 packages if each takes 30 minutes rest after 2 hours of loading.
Answer: 5.5 hour
Explanation
Given Information:
- A lifter loads 200 packages per hour.
- A labor loads two quarters (i.e., 2/4 or 1/2) less than 200 packages per hour.
- So, the labor loads 200 - 100 = 100 packages per hour.
- Together, the lifter and labor load:
- They need to load 1500 packages.
- They take 30 minutes (0.5 hours) rest after every 2 hours of loading.
Step 1: Calculate Total Loading Time Without Breaks
So, if they were working continuously, they would need exactly 5 hours.
Step 2: Account for Breaks
- They work for 2 hours, then take a 30-minute (0.5-hour) break.
- In 2 hours, they load:
- After 2 hours, they take a 0.5-hour break.
- Continuing this cycle:
- First 2 hours: 600 packages (then a 30-minute break)
- Next 2 hours: 600 packages (then a 30-minute break)
- Remaining: 300 packages, which takes 1 more hour (no need for another break).
Total time including breaks:
