An experienced painter can paint a fence twice as fast as an inexperienced...?

Question

An experienced painter can paint a fence twice as fast as an inexperienced painter. Working together, the painters require 4 hours to paint the fence. How long would it take the experienced painter, working alone, to paint the fence?

Answer 1

If the experienced painter can do the job alone in x hours, he does 1/x of the job in 1 hour, 4/x of the job in 4. Likewise, the inexperienced painter does 4/(2x) of the job. Together they do the whole job, so

4/x + 4/(2x) = 1 ......... multiply by 2x
8 + 4 = 2x
x = 6 hr.

Answer 2

Turn the sentences and make equations.
Working together, the painters require 4 hours to paint the fence.
x + y = 4
An experienced painter can paint a fence twice as fast as an inexperienced painter.
x = 2y

take the 1st equation and solve for x
x = 4 - y
substitue the equivalent of x (y - 4) into the second equation wherever you see x
4 - y = 2y
solve
4 = 3y
y = 4/3 = 1 1/3

now that you solved for y, solve for x
x + y = 4
x + 4/3 = 4
x = 2 2/3

Answer 3

If the experienced painter paints twice as fast then he will paint two thirds of the entire fence in 4 hours. So It would take him 6 hours to paint the whole fence.

Answer 4

An experienced painter can paint a house two times as quickly a a lot less experienced painter.? in the journey that they artwork jointly, it takes them 6 hours to color a house. How lengthy would it not take the more suitable experienced painter to color the homestead if he worked on my own? 2H^2 / 3H = 6 OR H = 9 more suitable experienced will paint it in 9 hours and a lot less journey in 18 hours.

Answer 5

1 hr 33 mins

Answer 6

two hours; unless he us union, then you must figure breaks and lunch, and a visity to the steward

Answer 7

Why should I do your homework for you?