adsuper7 wrote:Bea can paint a house three times faster than Alice can paint a house. If working together, it takes Alice and Bea 24 hours to paint a house, then how many hours will it take Bea to paint a house alone?
A. 28
B. 30
C. 32
D. 36
E. 40
C. 32
We can plug in the answers, which represent the time for Bea to paint the house alone.
Answer choice C: 32 hours.
Let the house = 96 units.
Rate for Bea = w/t = 96/32 = 3 units per hour.
Rate for Alice and Bea together = w/t = 96/24 = 4 units per hour.
Rate for Alice alone = rate for Alice and Bea together - rate for Bea alone = 4-3 = 1 unit per hour.
Rate for Bea/rate for Alice = 3/1 = 3.
Success!
The correct answer is
C.
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