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3 votes
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?

2 Answers

2 votes

Answer:

7 hours 12 minutes

Explanation:

User Zack Allen
by
4.8k points
2 votes

Answer:

5 1/7 hours

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.

User Canen
by
5.3k points