Question

Person A can paint the neighbor's house 5 times as fast as Person B. The year A and B worked together, it took them 5 days. How long would it take for each Person A and Person B to paint the house?

Answer 1

See below.

Explanation:

It took 5 days to paint the house. Person A paints 5 times as fast as person B, so in 5 days person A painted `5/6`ths of the house, and person B painted `1/6`th of the house.

For person A:

5 days = `5/6`

1 day = `1/6`

`6*(1/6)=6*1` day= 6 days. ( to paint all the house )

Person B:

5 days = `1/6`

1 day = `1/30`

`30*(1/30)=30*1` day= 30 days. ( to paint all the house )