Joey can assemble all of his factory work in four hours. Phil takes six hours to assemble the same amount of factory work. If they work together to assemble the same job, how long would it take?
Answer (3)
Mean time : 2 4 + 6 = 5
Since they're two, it would take 2 5 = 2.5 hours
Joey and Phil can complete the job together in approximately 2.4 hours. This is calculated by first determining their individual work rates and then combining those rates. The combined work rate allows us to find the total time for the job when they work together.
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To solve this problem of how long it would take Joey and Phil to complete the factory work together, we need to understand their individual work rates and then combine them.
Understanding Work Rates :
Joey can complete the job in 4 hours, so his work rate is 4 1 of the job per hour.
Phil can complete the same job in 6 hours, so his work rate is 6 1 of the job per hour.
Combining Work Rates :
When Joey and Phil work together, their combined work rate is the sum of their individual rates:
4 1 + 6 1 = 12 3 + 12 2 = 12 5
This means together, they can complete 12 5 of the job in one hour.
Finding the Total Time :
To find out how long it will take them to complete the entire job, we can set up the equation:
x × 12 5 = 1
Here, x represents the total number of hours they work together. Solving for x , we multiply both sides by 5 12 :
x = 5 12 = 2.4
So, working together, Joey and Phil can complete the job in 2.4 hours.
In conclusion, when Joey and Phil work together on the factory work, it will take them 2.4 hours to complete it.
