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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?

User Tchen
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2 Answers

3 votes
1/2+1/6=1/n
4/6=1/n
4n=6
n=6/4=3/2 hours to do the driveways, working together
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User Mohit
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6.6k points
6 votes

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

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,


(1)/(2)+(1)/(6)=(1)/(x)\\\\(3+1)/(6)=(1)/(x)\\\\(4)/(6)=(1)/(x)\\\\x=(6)/(4)\\\\x=1.5\ hours

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

User Doetoe
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6.8k points