it takes kim 11 hours to proof a chapter of Hawkes Learning System introductory algebra book and it takes Bethany 6 hours how long would it take them working together ​

Respuesta :

Answer:

3 15/17 hour

Step-by-step explanation:

Kim: 11 hours for 1 chapter

Bethany: 6 hours for 1 chapter

Together: x hours to proof a chapter

In 1 hour:

Kim proofs 1/11 of a chapter

Bethany proofs 1/6 of a chapter

Kim and Bethany together proof 1/11 + 1/6 of a chapter

Kim and Bethany together proof 1/x of a chapter

Therefore, 1/11 + 1/6 must equal 1/x

1/11 + 1/6 = 1/x

6/66 + 11/66 = 1/x

17/66 = 1/x

x = 66/17

x = 3 15/17

Answer: 3 15/17 hour