Triplets, Justin, Jason, and Jacob are working on a school project. Justin can complete the project by himself in 6 hours, Jason can complete the project by himself in 9 hours, and Jacob can complete the project by himself in 8 hours. How long would it take the triplets to complete the project if they work together?

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PHG

Answer:

Step-by-step explanation:

Step 1: Key points

Justin=6 hours

Jason=9 hours

Jacob=8 hours

Step 2: Find the reciprocal

Justin=1/6

Jason=1/9

Jacob=1/8

Put them together: 1/6+1/9+1/8=1/x

Step 3:From the 6,9, and 8 we can see that the lowest common denominator is 72, which you divide each of the numbers

72/16=12

72/9=8

72/8=9

T means time. Make an equation

12T+8T=9T=72

29T=72

Step 4: Divide 72 by 29

29T=72 (divide by 29)

T=2.5 hours

Therefore, for the triplets working together, it will take 2.5 hours