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.
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 see my analyzation is very wrong.