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7. A worker can assemble a flashlight in 2 minutes. How many hours will it take to complete 60,000 units? If 6 workers are available, how long will it take to complete this task?

8. The final assembly requires 3 workers to complete. The first worker estimates 4 hours, the second worker estimates 6 hours, and the third worker estimates 5 hours. If 500 assemblies are needed, what is the total number of hours needed?

- How many hours are needed from the first worker to complete the 500 assemblies?
- How many hours are needed from the second worker?
- How many hours are needed from the third worker?

If the 500 assemblies need to be completed in 5 working days (8-hour shifts), how many workers will be needed?

Answer :

A worker can assemble a flashlight in 2 minutes. To find how many hours it will take to complete 60,000 units, convert the time taken per unit to hours, then use it to calculate the total time.

1 minute = 1/60 hours1

worker can assemble 1/2 minutes or 0.5/60 = 1/120 hours

60,000 units will be assembled in:60,000 × 1/120

hours = 500 hoursIf 6 workers are available, the time taken to complete the task will be reduced.

We can use the following formula to find how long it will take:

Time ∝ 1/number of workers.

Hence,Time = K/number of workers,Where K is a constant. To find K, we can use the time taken by 1 worker.

500 hours = K/1K = 500Time = 500/6 hours = 83.33 hours ≈ 83 hours 20 minutes8.

The total hours needed to complete 500 assemblies can be found by adding the time taken by each worker to complete one assembly, then multiplying by the number of assemblies needed.

First worker's time = 4 hours

Number of assemblies completed by first worker = 500

Second worker's time = 6 hours.

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