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16 Oct 2016, 21:59
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
85% (02:18) correct
15%
(02:45)
wrong
based on 136
sessions
History
Date
Time
Result
Not Attempted Yet
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. If the two painters paint simultaneously, how many minutes will it take for them to paint a fence that is 260 feet long?
a) 320
b) 400
c) 450
d) 500
e) 580
Please assist with above problem.
a) 320
b) 400
c) 450
d) 500
e) 580
Please assist with above problem.
16 Oct 2016, 22:06
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Ray can paint 40 feet every 160 minutes..
Then Ray can paint 40/160 feets per minute.
Taylor can paint 50 feet every 125 minutes..
Then Taylor can paint 50/125 fret per minutes
Then in one minute both together can paint (40/160)+(50/125) feets.. nothing but 13/20 feets per minute..
Time taken for 260 feet 260/(13/20) or (260*20)/13 = 400 minutes
Answer B
Sent from my Lenovo A7020a48 using GMAT Club Forum mobile app
Then Ray can paint 40/160 feets per minute.
Taylor can paint 50 feet every 125 minutes..
Then Taylor can paint 50/125 fret per minutes
Then in one minute both together can paint (40/160)+(50/125) feets.. nothing but 13/20 feets per minute..
Time taken for 260 feet 260/(13/20) or (260*20)/13 = 400 minutes
Answer B
Sent from my Lenovo A7020a48 using GMAT Club Forum mobile app
16 Oct 2016, 22:12
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alanforde800Maximus
Efficiency of Ray = \(\frac{40}{160}\) => \(\frac{1}{4}\)
Efficiency of Taylor = \(\frac{50}{125}\) => \(\frac{2}{5}\)
Combined efficiency is \(\frac{1}{4}\) + \(\frac{2}{5}\) = \(\frac{13}{20}\)
Time required to paint a 260 meters wall is \(260*\frac{20}{13}\) = \(400\) minutes.
Hence answer will be (B) 400
