Question

Brett can plow out all the driveways on his street with his new​ four-wheel-drive truck in 2 hours. using a snow blade on a lawn​ tractor, his neighbor can plow out the same number of driveways in 6 hours. how long would it take them to do the work​ together?

Answer 1

1/2+1/6=1/n
4/6=1/n
4n=6
n=6/4=3/2 hours to do the driveways, working together
☺☺☺☺

Answer 2

Answer: It takes 1.5 hours for them to do the work together.

Step-by-step explanation:

Since we have given that

Number of hours his new four wheel drive truck takes = 2 hours

Number of hours his neighbour can plow out takes = 6 hours

We need to find the number of hours they work together.

According to question, it becomes,

$\dfrac{1}{2}+\dfrac{1}{6}=\dfrac{1}{x}\\\\\dfrac{3+1}{6}=\dfrac{1}{x}\\\\\dfrac{4}{6}=\dfrac{1}{x}\\\\x=\dfrac{6}{4}\\\\x=1.5\ hours$

Hence, it takes 1.5 hours for them to do the work together.