Andrew can paint the​ neighbor's house 3 times as fast as Bailey. The year Andrew and Bailey worked​ together, it took them 7 days. How long would it take each to paint the​ house?

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1 Answer
MattyMatty
May 24, 2018

#"It depends on how much they talk together, just kidding."#

#"Name"#
#W =" the work done in one day"#
#"(W = 1 means that the complete house is painted)"#
#W_a =" the work done in one day by Andrew"#
#W_b =" the work done in one day by Bailey"#

#"Then we have"#
#W_a = 3 W_b#
#W * 7 = 1#
#=> W = W_a + W_b = 1/7#
#=> W = 4 W_b = 1/7#
#=> W_b = 1/28#
#=> " Bailey needs 28 days to paint the house alone."#
#=> " Andrew needs 28/3 = 9.3333 days to paint the house alone."#

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