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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