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11 Oct 2019, 02:57
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E
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Difficulty:
15%
(low)
Question Stats:
82% (01:50) correct
18%
(02:31)
wrong
based on 97
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Working together, Claire, Barry, and Howard can paint a living room in \(2\frac{1}{2}\) hours. If, working alone, Claire can paint the living room in 7 hours and Barry can paint the living room in 5 hours, how many hours would it take Howard, working alone, to paint the living room?
A. 3 1/2
B. 5
C. 7
D. 11 1/2
E. 17 1/2
A. 3 1/2
B. 5
C. 7
D. 11 1/2
E. 17 1/2
11 Oct 2019, 03:08
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Bunuel
Working together, Claire, Barry, and Howard can paint a living room in \(2\frac{1}{2}\) hours. If, working alone, Claire can paint the living room in 7 hours and Barry can paint the living room in 5 hours, how many hours would it take Howard, working alone, to paint the living room?
A. 3 1/2
B. 5
C. 7
D. 11 1/2
E. 17 1/2
A. 3 1/2
B. 5
C. 7
D. 11 1/2
E. 17 1/2
Given, \(\frac{1}{C} + \frac{1}{B} + \frac{1}{H} = \frac{1}{2.5} = \frac{2}{5}\)
--> \(\frac{1}{7} + \frac{1}{5} + \frac{1}{H} = \frac{1}{2.5} = \frac{2}{5}\)
--> \(\frac{1}{H} = \frac{2}{5} - \frac{1}{5} - \frac{1}{7}\)
--> \(\frac{1}{H} = \frac{1}{5} - \frac{1}{7}\)
--> \(\frac{1}{H} = \frac{2}{35}\)
--> \(H = 35/2 = 17.5\)
IMO Option E
11 Oct 2019, 08:38
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Bunuel
Working together, Claire, Barry, and Howard can paint a living room in \(2\frac{1}{2}\) hours. If, working alone, Claire can paint the living room in 7 hours and Barry can paint the living room in 5 hours, how many hours would it take Howard, working alone, to paint the living room?
A. 3 1/2
B. 5
C. 7
D. 11 1/2
E. 17 1/2
A. 3 1/2
B. 5
C. 7
D. 11 1/2
E. 17 1/2
from given info
1/7+1/5+1/h=2/5
solve for H= 35/2 = 17 1/2
IMO E
