Together, Bob and Tom take 4 hours to get the yard work done. If Bob works alone, it takes him 6 hours. How long would it take Tom, working alone, to do all of the yard work?

10 hours

12 hours

8 hours

9 hours

Question

Valencia

Mathematics

27 February, 23:15

Together, Bob and Tom take 4 hours to get the yard work done. If Bob works alone, it takes him 6 hours. How long would it take Tom, working alone, to do all of the yard work?

10 hours

12 hours

8 hours

9 hours

+3

Answers (1)

Know the Answer?

Cristopher Mitchell · Answer 1

The answer is 12 and let me tell you how can you get to that conclussion:

Let X be the number of hrs Tom takes to do it

Add their rates of working

(1 yard) / (6 hrs) + (1 yard) / (X hrs) = (1 yard) / (4 hrs) and then what you do is

1/6 + 1/x = 1/4

Remember to multiply both sides by 12x

then = 2x + 12 = 3x

Together, Bob and Tom take 4 hours to get the yard work done. If Bob works alone, it takes him 6 hours. How long would it take Tom, working alone, to do all of the yard work?10 hours12 hours8 hours9 hours

Together, Bob and Tom take 4 hours to get the yard work done. If Bob works alone, it takes him 6 hours. How long would it take Tom, working alone, to do all of the yard work?

10 hours

12 hours

8 hours

9 hours