# If Freddy can mow a lawn in 2 hrs and James can mow the same lawn in 3 hrs how long will it take both of them working together, to mow the lawn?

1
by davidyangnyc

2015-01-14T22:09:34-05:00
Freddy mows 1 lawn per 2 hours which can be represented by the fraction

James mows 1 lawn per 3 hours which can be represented by the fraction

If they work together, how many hours would it take to mow one lawn
So

Now, solve for the question mark

1/2 = 3/6 and 1/3 = 2/6

3/6 + 2/6 = 5/6

5/6 = 1/?

(5/6 = 1/?) x 6
5 = 6/?

(5 = 6/?) x ?
5? = 6

(5? = 6) / 5
? = 6/5 = 1 1/5

It would take 1 and 1/5 hours to mow one lawn.
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