Question

A 4 2/5 mile stretch of road was divided into 2/3 mile sections. If each 2/3 mile section was painted at a rate of 5 feet per second, how long did it take to paint all of the 2/3 mile sections, in minutes? There is a portion of the road remaining that is not a 2/3 mile section. How long would it take to paint this remaining section of road?

A) 36 minutes to paint the 2/3 mile sections, 15 minutes for the remaining section
B) 8 minutes to paint the 2/3 mile sections, 15 minutes for the remaining section
C) 32 minutes to paint the 2/3 mile sections, 20 minutes for the remaining section
D) 40 minutes to paint the 2/3 mile sections, 5 minutes for the remaining section

Answer 1

It takes approximately 0.55 minutes to paint all the 2/3 mile sections of the road and approximately 0 minutes to paint the remaining section.

Step-by-step explanation:

To find the time it takes to paint all the 2/3 mile sections, we first need to find the total number of sections. To do this, we divide the length of the road (4 2/5 miles) by the length of each section (2/3 mile), which gives us 6 and 2/3 sections. To find the time it takes to paint all the sections, we multiply the number of sections by the time it takes to paint each section. This gives us (6 2/3) * (5 seconds per section) = 33 1/3 seconds. To convert this to minutes, we divide by 60, giving us approximately 0.55 minutes.

Next, we need to find the time it takes to paint the remaining section of road. Since the remaining section is less than 2/3 mile, we can assume it takes less than 5 seconds to paint. Therefore, the answer is approximately 0 minutes.