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Noah’s contracting company builds road at a rate of 1 mile
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09 Dec 2017, 18:46
09 Dec 2017, 18:46
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Noah’s contracting company builds road at a rate of 1 mile per week, except during the rainy season, when that rate drops to \(\frac{1}{2}\) mile per week. If Noah is hired to build 11 miles of road, and his company begins construction 5 weeks before the start of the rainy season, how many weeks will it take Noah’s company to complete the contract? (Rainy season lasts 14 weeks.)
Drill 4
Question: 7
Page: 532
Question: 7
Page: 532
Show: :: OA
17
Re: Noah’s contracting company builds road at a rate of 1 mile
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10 Dec 2017, 09:47
10 Dec 2017, 09:47
2
Hi,
I think it is as follows
We know that the rate for the 5 weeks before the rainy season will be only 1 miles. So let's substract the 5 miles from the 11 total miles. The remaining will be 6.
After that, simply divise 6/(1/2) which gives us 12.
5+12 =17
I think it is as follows
We know that the rate for the 5 weeks before the rainy season will be only 1 miles. So let's substract the 5 miles from the 11 total miles. The remaining will be 6.
After that, simply divise 6/(1/2) which gives us 12.
5+12 =17
Re: Noah’s contracting company builds road at a rate of 1 mile
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29 Dec 2017, 16:40
29 Dec 2017, 16:40
Expert Reply
Explanation
Use the Rate Pie to organize your work. For the first 5 weeks, Noah’s company builds 1 mile per week. Therefore, they build 5 miles of road before the start of the rainy season. Once rainy season begins, they have 6 miles of road left to build. This number is the “work,” and goes in the top of the rate pie.
The rate, \(\frac{1}{2}\) miles per week, goes in the lower left segment of the rate pie. Divide 6 by , and you’ll get the total amount of time, or 12 weeks, at that rate.
Therefore, it will take a total of 17 weeks for Noah’s company to build the road.
Use the Rate Pie to organize your work. For the first 5 weeks, Noah’s company builds 1 mile per week. Therefore, they build 5 miles of road before the start of the rainy season. Once rainy season begins, they have 6 miles of road left to build. This number is the “work,” and goes in the top of the rate pie.
The rate, \(\frac{1}{2}\) miles per week, goes in the lower left segment of the rate pie. Divide 6 by , and you’ll get the total amount of time, or 12 weeks, at that rate.
Therefore, it will take a total of 17 weeks for Noah’s company to build the road.
