Answer:
Person A takes 4.66 days and person B 28 days
Step-by-step explanation:
Let t = time required by A to paint the house
"Person A can paint the neighbor's house 6 times faster than Person B."
Thus:
6 * t = time required by person B
Therefore we have to:
4 / t + 4/6 * t = 1
we solve:
(4 * 6 * t + 4 * t) 6 * t * t = 1
(28 * t) 6 * t * t = 1
6/28 = t
t = 14/3
that is, person A takes 4.66 days and person B 28 days (4.66 * 6)
Answer:
Person A will take 4,67 days
Person B will take 28 days
Step-by-step explanation:
They both paint the house in 4 days, then in one day they will paint 1/4 of the house.
Let call "x " number of days person B takes to paint neighbor´s house, and in one day B will paint 1/x
Then person A would take x/6 to paint the same house, and in one day A will paint 1/x/6 or 6/x
According problem statement they both A and B took 4 days painting the house, therefore
1/x + 6/x = 1/4
( 1 + 6 ) /x = 1 /4
( 1 + 6 )*4 = x
7*4 = x
x = 28 days
So person B would take 28 days
And person A would take 28/6 or 4,67 days
