Question

Sorry, I’m in kind of a rush, could you guys explain this to me? Thank you so much!!!

35. Lucas and Jacob can paint a house in 1 hour
working together. If Jacob works alone, he can
paint the house in 1.5 hours. How long would
it take Lucas to complete the job on his own?
E. 1 hour
F. 1.5 hours
G. 2 hours
H. 3 hours

Answer 1

The time it will take Lucas to paint the house using rate is 3 hours

How to find the how long it take Lucas to paint the house using rate?

They both paint the same house.

Lucas and Jacob can paint a house in 1 hour working together.

Jacob works alone, he can paint the house in 1.5 hours.

Therefore, the time it will take Lucas to paint the house using rate is as follows:

let

x = time it will take Lucas to paint the house

1 / 1 = 1 / x + 1 / 1.5

1  = 1.5 + x / 1.5x

cross multiply

1.5x = 1.5 + x

1.5x  - x = 1.5

0.5x = 1.5

divide both sides by 0.5

x = 1.5 / 0.5

x = 3

Therefore, the time it will take Lucas to pain the house is 3 hours.

learn more on rate here: https://brainly.com/question/12144445

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