A roofing contractor can shingle a roof in half the time it takes his assistant. Working together, they can shingle the roof in 8 hours. How much time does it take the roofing contractor to finish the job alone

It will take him 12 hours working alone

Step-by-step explanation:

In this question, we are asked to calculate the time in hours it will take a roofing contractor to finish a job alone given the amount of time he and his assistant will finish the roof job.

We can identify from the question that he works 2 times as fast as his assistant. So let’s say he takes x hours, his assistant will take 2x hours

Now, let’s say the span of the roofing work is y meters.

His rate will be y/x and his assistant will be y/2x while their joint rate will be y/8

Now if their individual rates are added together, we will have the joint rate

Mathematically;

y/x + y/2x= y/8

y(1/x + 1/2x) = y(1/8)

1/x + 1/2x = 1/8

3x/2x^2 = 1/8

3/2x = 1/8

2x = 24

x = 24/2

x = 12 hours

i'm not sure what you mean but in todays world there is a lot of women that are the bread winners in the family. there is a lot more single mothers now that are going back to get an education which is boosting the economy. i believe there has been a boost in the economy due to women the cosmetic industry is boosting, chemist, the sky is becoming the limit for women in todays economy. most women are also putting off having kids just to make sure they have a education. i don't know how these two relate though to scriptures because it's not the way the lord wanted it. the man is suppose to be the bread winner and due to social media and the easy access we have there is a lot of cheating going on.

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