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Bob can shave a cat in 3 hours; Fred can do it in 4 hours. If they work together without wasting a ton of time like they always do, how long will it take to shave the cat?

Respuesta :

joseaaronlara

Answer:

The answer to your question is 1 5/7 or 1.7 hours ≈ 1:43 min

Step-by-step explanation:

Data

Bob lasts 3 hours

Fred lasts 4 hours

Together = ?

Process

1.- Determine what they do in 1 hour

Bob = 1/3  in x hours   x/3

Fred = 1/4 in x hours   x/4

2.- Write the equation to this problem

         x/3 + x/4 = 1

3.- Solve it for x

       (4x + 3x)/12 = 1

                      7x = 12

                        x = 12/7

                        x = 1 5/7 or 1.7 hours ≈ 1:43 min

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