Millwood City is constructing a new highway through town. The construction crew can complete 5 3/5 miles of road each month. Can the highway be finished in 8 months? 6 1/2 months have already passed by and so far they have 36 2/5 miles complete.
Thanks! My friend and I are both using Jiskha on this problem right now.
How long will the highway be through town?
http://www.jiskha.com/display.cgi?id=1360959210
Doesn't say..
The above link gives that information plus the answer.
All right, so the new highway is 54 miles long in total. But I need the answer in a mixed number answer, not a decimal, and I can't quite remember how to turn decimals into fractions...
Yeah... sorta forgot. Long story short, we were absent when we were being taught that.
http://www.webmath.com/dec2fract.html
To determine if the highway can be finished in 8 months, we need to calculate the total amount of road that can be completed in that time frame.
First, we need to find out how much road can be completed in one month by the construction crew. The crew can complete 5 3/5 miles of road each month. To simplify this fraction, we can convert it to an improper fraction:
5 3/5 = (5 * 5 + 3) / 5 = 28/5
So, the construction crew can complete 28/5 miles of road each month.
Next, we need to determine how much road can be completed in 8 months. To do this, we multiply the amount of road completed in one month by the number of months:
(28/5) * 8 = 224/5 = 44 4/5 miles
So, the construction crew can complete 44 4/5 miles of road in 8 months.
Now, we check if the amount of completed road matches or exceeds the total required length of the highway. The problem states that 6 1/2 months have already passed and 36 2/5 miles of road have been completed.
To check if the highway can be finished in 8 months, we add the completed road to the amount of road that can be completed in the remaining months:
36 2/5 + 44 4/5 = (36 + 44) + (2/5 + 4/5) = 80 + 6/5 = 80 1/5 miles
Since 80 1/5 miles is less than the total required length of the highway, it means the highway cannot be finished in 8 months.
Therefore, the answer is no, the highway cannot be finished in 8 months.