Bob can type 2 letters in 4 hours while Bill can do it in 6. How many hours would it take them, working together, to type six letters?

Respuesta :

Answer:

5 1/7 hours

Step-by-step explanation:

We're looking to calculate TIME.  In this situation the proper expression is:

              6 letters

time = -----------------------------------------------------------

            2 letters / 4 hours  +  2 letters / 6 hours

We can divide numerator and denominator both by "2 letters" to simplify the problem:

                     3                          3 hours             3 hours

time = ----------------- hours, or ------------------ = -----------------

              1/4  + 1/3                     3/12 + 4/12           7/12

Invert the divisor 7/12, and then multiply:  (3 hours) (12/7) = 36/7 hours, or

5 1/7 hours

It will take these two guys 5 1/7 hours, working together, to type these 6 letters.

Answer:

7 hours 12 minutes

Step-by-step explanation:

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