Two painters, Ray and Taylor, are painting a fence. Ray paints at a uniform rate of 40 feet every 160 minutes, and Taylor paints at a uniform rate of 50 feet every 125 minutes. Of the two painters paint simultaneously, how many minutes will it take for them to paint a fence that is 260 feet long?
Mathematics · High School · Tue Nov 03 2020
Answered on
Let the time taken both the painters to paint a fence be x mins
Length of fence = 260 feet
Ray paints at a uniform rate of 40 feet every 160 and Taylor paints at a uniform rate of 50 feet every 125 minutes.
So, (40/160 + 50/125)x = 260
(0.25 + 0.4)x = 260
0.65x = 260
x = 260/0.65
x = 400 minutes
Hence, it will take Ray and Taylor 400 minutes to paint the a fence that is 260 feet long.