SOLUTION: If Ted can harvest a field in 16 hours and Eugene can harvest the same field in 13 hours how long will it take Ted and Eugene to harvest the field together

Question 919466: If Ted can harvest a field in 16 hours and Eugene can harvest the same field in 13 hours how long will it take Ted and Eugene to harvest the field together
Found 2 solutions by ewatrrr, richwmiller:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!

16x+ 6x = 96
22x = 96
x = 4 8/22 0r 4 4/11 hr, ~4hr 24min

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
1/a+1/b=1/x
1/16+1/13=1/x
13/208+16/208=1/x
29/208=1/x
x=208/29
x=7.17241379 hours working together
check
x/a+x/b=1
x/16+x/13=1
7.17241379/16+7.17241379/13=1
0.44827586+0.55172414=1
1.0=1
ok
codewt

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