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stealth61 [152]
3 years ago
11

Working alone it takes Ryan 13.4 weeks to build a home.Jack can build the same home in 13.1 weeks how long would it take them if

they work together
Mathematics
1 answer:
dexar [7]3 years ago
8 0

Answer: 6.62 weeks


Step-by-step explanation:

Time taken by Ryan to build a home = 13.4 weeks

Time taken by Jack to build the same home = 13.1 weeks

Let t be the time to complete a house if they work together, then

\frac{1}{t}=\frac{1}{t}= \frac{1}{\text{time taken by Ryan alone}}+\frac{1}{\text{time taken by Jack alone}}

=\frac{1}{13.4}+\frac{1}{13.1}\\\\=\frac{13.1+13.4}{175.54}\\\\=\frac{26.5}{175.54}

\\\Rightarrow\ t=\frac{175.54}{26.5}\\\Rightarrow\ t=6.62\ weeks

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