If 1mechanic can do 4 machines in 6 hours how many machines can 48 mechanics do in 160 hours?
5184
1 mechanic can do 4 machines in 6 hours
- then 48 mechanic can do 192 machines in 6 hours
- then 48 mechanic can do 192(160/6) or 5120 machines in 160 hours
To solve this problem, we can use the concept of ratios and proportions. Let's break it down step by step:
1. Start by finding out how many machines a single mechanic can complete in one hour. From the given information, we know that 1 mechanic can do 4 machines in 6 hours, so we divide 4 (machines) by 6 (hours) to find the rate per hour.
Rate per hour = 4 machines / 6 hours = 2/3 machines per hour
2. Now, we need to find out how many machines can be completed by a single mechanic in 160 hours. We multiply the rate per hour by the number of hours worked.
Machines completed by a single mechanic in 160 hours = (2/3 machines per hour) * 160 hours
Simplifying this equation gives us:
Machines completed by a single mechanic in 160 hours = 320/3 machines
3. Finally, we want to find out how many machines 48 mechanics can complete in 160 hours. Since each mechanic can complete 320/3 machines in 160 hours, we can multiply this number by the number of mechanics.
Machines completed by 48 mechanics in 160 hours = (320/3 machines per mechanic) * 48 mechanics
Simplifying this equation will give us the final answer:
Machines completed by 48 mechanics in 160 hours = 15360/3 machines
Machines completed by 48 mechanics in 160 hours = 5120 machines
Therefore, 48 mechanics can complete 5120 machines in 160 hours.