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Bill and rose are working together to plant 100 trees. It would take bill 45 hours to plant 100 trees. It would take Rose 40 hours to plant 100 trees. which equation could be used to find p, where p is the amount of time, in hours, it would take Rose and Bill to plant 100 trees if they work together?

A) p/45+p/40 =1

B) 45/p +40/p =1

C) p/45+p/40 =100

D)45/p +40/p =100

Respuesta :

Answer:

c

Step-by-step explanation:

i think it c. hope it helps

The amount of time Rose and Bill will take to plant the trees if they are working together is [tex]\frac{p}{45} + \frac{p}{40} = 1[/tex]

What is an algebraic equation?

' An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other.'

According to the given problem,

Since Bill takes 45 hours to plant 100 trees,

He will take [tex]\frac{45}{100}[/tex] hours to plant one tree.

Rose takes 40 hours to plant 100 trees, She will take [tex]\frac{40}{100}[/tex] hours to plant one tree.

If they work together,

p÷[tex]\frac{45}{100}[/tex] +  p÷[tex]\frac{40}{100}[/tex] = 100

⇒ [tex]\frac{p * 100}{45}[/tex] + [tex]\frac{p*100}{40}[/tex] = 100

⇒ 100( [tex]\frac{p}{45}[/tex] + [tex]\frac{p}{40}[/tex] ) = 100

⇒ [tex]\frac{p}{45}[/tex] + [tex]\frac{p}{40}[/tex] = 1

Hence, we can conclude that Rose and Bill is going to take [tex]\frac{p}{45} + \frac{p}{40}[/tex] hours to complete planting 100 trees when they are working together.

Learn more about algebraic equations here: https://brainly.com/question/2945451

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