Question 1163362
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Here is an alternative method for solving "working together" problems that many students like because it avoids working with fractions.<br>
Consider the least common multiple (LCM) of the three given times.  The LCM of 2, 3, and 6 is 6.<br>
Consider what the lion, wolf, and dog could eat in those 6 hours:
lion: 6/2 = 3 sheep
wolf: 6/3 = 2 sheep
dog: 6/6 = 1 sheep<br>
In 6 hours, the lion, wolf, and dog together could eat 3+2+1=6 sheep.<br>
That means the number of hours they would take to eat the one sheep is 6/6 = 1.<br>
ANSWER: 1 hour for the three together to eat the sheep.<br>