Bob and Ted are in the plumbing business. Bob can do the plumbing hook-up for a new house in 4 hours; Ted does the same job in 6 hours. If they work together, how long will they take to hook up the plumbing in one house? 2.1 hours 2.4 hours 5 hours

Question

Fury

Mathematics

5 May, 13:10

Bob and Ted are in the plumbing business. Bob can do the plumbing hook-up for a new house in 4 hours; Ted does the same job in 6 hours. If they work together, how long will they take to hook up the plumbing in one house? 2.1 hours 2.4 hours 5 hours

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Answers (1)

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Gloria Harper · Answer 1

Where 1/4 represents Bob and 1/6 represents Ted ...

1/4x + 1/6x = 1

Multiply the two so there is no fraction by the GCF of 12.

3x + 2x = 12

Add 3x and 2x.

5x = 12

Divide by 5.

x = 12

Plug this value in.

With that, the answer is 2 hours and 24 minutes with x = 12 meaning 144 minutes.