Three neighborhood children, individually, can mow Mr. Phelps's lawn in 1.5, 2, and 3 hours, respectively. What is the

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Three neighborhood children, individually, can mow Mr. Phelps's lawn in 1.5, 2, and 3 hours, respectively. What is the fastest the job can be completed by two of the children working together at their respective rates?

a) 6/7 hours
b) 3/2 hours
c) 7/4 hours
d) 7/2 hours
e) 5 hours

[spoiler]OA=A[/spoiler]

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M7MBA wrote:
Tue May 12, 2020 6:44 am
Three neighborhood children, individually, can mow Mr. Phelps's lawn in 1.5, 2, and 3 hours, respectively. What is the fastest the job can be completed by two of the children working together at their respective rates?

a) 6/7 hours
b) 3/2 hours
c) 7/4 hours
d) 7/2 hours
e) 5 hours

[spoiler]OA=A[/spoiler]
Solution:

The fastest combined rate is for the two children with the lowest number of hours:

1/1.5 + 1/2 = 4/6 + 3/6 = 7/6

So the time is 1/(7/6) = 6/7 hours.

Answer: A

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