jim can plant 8 trees in 18 hours. kinda can plant 8 trees in 9 hours. how long will it take him and linda working together to plant 8 trees?

Respuesta :

Answer:

6 hours

Step-by-step explanation:

jim can plant 8 trees in 18 hours. kinda can plant 8 trees in 9 hours. how long will it take him and linda working together to plant 8 trees?

jim speed is 8/18 trees/hour

linda speed is 8/9 trees/hour

combined speed [tex]\frac{8}{18} + \frac{8}{9} = \frac{8}{18} + \frac{16}{18} = \frac{24}{18}[/tex] [tex]= \frac{12}{9}[/tex] trees/hour

[tex]\frac{8}{x} = \frac{12}{9}[/tex]

9*8 = 12x

72 = 12x

x = 72/12

x = 6

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