Millwood city is constructing a new highway through town. The construction crew can complete 5 3/6 miles of road each month. The total new highway will be 54 miles long. Will the highway be finished in 8 months?
I know that 36 2/5 miles of highway can be completed in 6 1/2 months but then I am lost from there
54mi/(5.5mi/mo) = 9.8 mo
Nope.
thank u steve
What is the answer
To determine if the highway will be finished in 8 months, we need to calculate how many miles of road can be completed in 8 months.
First, let's find the number of miles of road completed per month. We know that the construction crew can complete 5 3/6 miles each month.
To add 5 3/6, we need to find a common denominator for 3 and 6, which is 6.
5 3/6 can be written as (5 * 6 + 3) /6 = 33/6.
So, the construction crew can complete 33/6 miles of road each month.
Next, we need to multiply this value (33/6) by the number of months (8) to find the total number of miles completed in 8 months.
33/6 * 8 = (33 * 8) / 6 = 264/6.
Now, let's simplify this fraction. Both the numerator and denominator are divisible by 6.
264/6 = (44 * 6) / 6 = 44.
Therefore, the construction crew can complete 44 miles of road in 8 months.
Since the total length of the new highway is 54 miles, and the construction crew can complete only 44 miles in 8 months, the highway will not be finished in 8 months. There will still be 54 - 44 = 10 miles remaining to be completed.
Please note that this calculation assumes a constant speed of construction throughout the project. Factors such as weather conditions or any unforeseen circumstances may affect the construction timeline.