# 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:

• 1.50*Rate of Juan = Rate of Pedro
Rate of Juan = (2/3)*Rate of Pedro
• 1.20*Rate of Pilar = Rate of Pedro
Rate of Pilar = (5/6)*Rate of Pedro

### Thank you sir. Just now i can

In reply to by Jhun Vert

Thank you sir. Just now i can see my analyzation is very wrong.

### how it became 1.50 and 1.20?

In reply to by Jhun Vert

how it became 1.50 and 1.20?

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

In reply to by L (not verified)

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

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

In reply to by Jhun Vert

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

### calculator... 1 ÷ 1.5 = 2/3

In reply to by Anonymous (not verified)

calculator... 1 ÷ 1.5 = 2/3