# Work problems

Pedro can paint a fence 50% faster than Juan and 20% faster than Pilar and together they can paint a given fence in 4 hours. How long will it take Pedro to paint the same fence if he had to work alone?
Solution:
Let Rate of pedro = 1/tpedro = x
Rate of juan = .50x
Rate of pilar = .80x
(x+.50x+.80x)4=1
2.3x=1/4
x=5/46
5/46 = 1/tpedro
tpedro=46/5 =9.2hours
Is this solution correct because the book says the answer is 10hours.

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## Consider these

Consider these:

Rate of Juan = (2/3)*Rate of Pedro

Rate of Pilar = (5/6)*Rate of Pedro

## Thank you sir. Just now i can

In reply to Consider these by Jhun Vert

## how it became 1.50 and 1.20?

In reply to Consider these by Jhun Vert

how it became 1.50 and 1.20?

## 50% faster is 100% + 50% or 1

In reply to how it became 1.50 and 1.20? by L (not verified)

50% faster is 100% + 50% or 1.5.

## where did the 2/3 and 5/6

In reply to 50% faster is 100% + 50% or 1 by Jhun Vert

where did the 2/3 and 5/6 came from

## calculator... 1 ÷ 1.5 = 2/3

In reply to where did the 2/3 and 5/6 by Anonymous (not verified)

calculator... 1 ÷ 1.5 = 2/3