Lucas and Tayvan can paint a house in 1 hour working together. If Tayvan works alone, he can paint the house in 1.5 hours. How long would it take Lucas to complete the job on his own?

Lucas can complete the work on his own in 3 hours if Lucas and Tayvan can paint a house in 1 hour working together. If Trayvon works alone, he can paint the house in 1.5 hours.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Lucas and Tayvan can paint a house in 1 hour working together. If Trayvon works alone, he can paint the house in 1.5 hours.

Let x be the time that took by Lucas to complete the job on his own

From the question:

1/x + 1/1.5 = 1/1

Because Trayvon can paint the house in 1.5 hours

After solving the above equation:

1/x = 1 - 1/1.5

1/x = (1.5-1)/1.5

1/x = 0.5/1.5

x = 1.5/0.5

x = 3 hours

Thus, Lucas can complete the work on his own in 3 hours if Lucas and Tayvan can paint a house in 1 hour working together. If Trayvon works alone, he can paint the house in 1.5 hours.

Learn more about the fraction here:

brainly.com/question/1301963

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